{"id":3901,"date":"2024-03-13T10:32:44","date_gmt":"2024-03-13T10:32:44","guid":{"rendered":"https:\/\/bezwarunku.pl\/?page_id=3901"},"modified":"2024-05-15T11:19:25","modified_gmt":"2024-05-15T10:19:25","slug":"uklady-rownan-liniowych-macierze","status":"publish","type":"page","link":"https:\/\/bezwarunku.pl\/index.php\/uklady-rownan-liniowych-macierze\/","title":{"rendered":"uk\u0142ady r\u00f3wna\u0144 liniowych-macierze"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"3901\" class=\"elementor elementor-3901\" data-elementor-post-type=\"page\">\n\t\t\t\t<header class=\"elementor-element elementor-element-e41c9e9 e-con-full e-flex e-con e-parent\" data-id=\"e41c9e9\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t<div class=\"elementor-element elementor-element-23db864 e-con-full e-flex e-con e-child\" data-id=\"23db864\" data-element_type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c303700 elementor-widget elementor-widget-image\" data-id=\"c303700\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/bezwarunku.pl\">\n\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1170\" height=\"1170\" src=\"https:\/\/bezwarunku.pl\/wp-content\/uploads\/2023\/10\/BEZWARUNKU-1.jpg\" class=\"attachment-full size-full wp-image-39\" alt=\"\" srcset=\"https:\/\/bezwarunku.pl\/wp-content\/uploads\/2023\/10\/BEZWARUNKU-1.jpg 1170w, https:\/\/bezwarunku.pl\/wp-content\/uploads\/2023\/10\/BEZWARUNKU-1-300x300.jpg 300w, https:\/\/bezwarunku.pl\/wp-content\/uploads\/2023\/10\/BEZWARUNKU-1-1024x1024.jpg 1024w, https:\/\/bezwarunku.pl\/wp-content\/uploads\/2023\/10\/BEZWARUNKU-1-150x150.jpg 150w, https:\/\/bezwarunku.pl\/wp-content\/uploads\/2023\/10\/BEZWARUNKU-1-768x768.jpg 768w, 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menu-item-object-custom menu-item-177\"><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\" class=\"elementor-item\">CENNIK<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4681\"><a href=\"https:\/\/bezwarunku.pl\/index.php\/regulamin\/\" class=\"elementor-item\">regulamin<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t\t<div class=\"elementor-menu-toggle\" role=\"button\" tabindex=\"0\" aria-label=\"Menu Toggle\" aria-expanded=\"false\">\n\t\t\t<svg aria-hidden=\"true\" role=\"presentation\" class=\"elementor-menu-toggle__icon--open e-font-icon-svg e-eicon-menu-bar\" viewBox=\"0 0 1000 1000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M104 333H896C929 333 958 304 958 271S929 208 896 208H104C71 208 42 237 42 271S71 333 104 333ZM104 583H896C929 583 958 554 958 521S929 458 896 458H104C71 458 42 487 42 521S71 583 104 583ZM104 833H896C929 833 958 804 958 771S929 708 896 708H104C71 708 42 737 42 771S71 833 104 833Z\"><\/path><\/svg><svg aria-hidden=\"true\" role=\"presentation\" class=\"elementor-menu-toggle__icon--close e-font-icon-svg e-eicon-close\" viewBox=\"0 0 1000 1000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M742 167L500 408 258 167C246 154 233 150 217 150 196 150 179 158 167 167 154 179 150 196 150 212 150 229 154 242 171 254L408 500 167 742C138 771 138 800 167 829 196 858 225 858 254 829L496 587 738 829C750 842 767 846 783 846 800 846 817 842 829 829 842 817 846 804 846 783 846 767 842 750 829 737L588 500 833 258C863 229 863 200 833 171 804 137 775 137 742 167Z\"><\/path><\/svg>\t\t\t<span class=\"elementor-screen-only\">Menu<\/span>\n\t\t<\/div>\n\t\t\t\t\t<nav class=\"elementor-nav-menu--dropdown elementor-nav-menu__container\" aria-hidden=\"true\">\n\t\t\t\t<ul id=\"menu-2-39e225f\" class=\"elementor-nav-menu\"><li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-home menu-item-142\"><a href=\"https:\/\/bezwarunku.pl\/\" class=\"elementor-item\" tabindex=\"-1\">G\u0141\u00d3WNA<\/a><\/li>\n<li class=\"menu-item menu-item-type-custom menu-item-object-custom menu-item-177\"><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\" class=\"elementor-item\" tabindex=\"-1\">CENNIK<\/a><\/li>\n<li class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4681\"><a href=\"https:\/\/bezwarunku.pl\/index.php\/regulamin\/\" class=\"elementor-item\" tabindex=\"-1\">regulamin<\/a><\/li>\n<\/ul>\t\t\t<\/nav>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-660740b elementor-widget__width-auto elementor-widget elementor-widget-button\" data-id=\"660740b\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">zarejestruj si\u0119<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/header>\n\t\t<div class=\"elementor-element elementor-element-82ffbff e-con-full e-flex e-con e-parent\" data-id=\"82ffbff\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-75afa1e elementor-widget elementor-widget-heading\" data-id=\"75afa1e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/bezwarunku.pl\/index.php\/analiza-matematyczna\/?preview_id=200&#038;preview_nonce=87c719741f&#038;preview=true\">MACIERZE<\/a><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-879ca2e animated-slow elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"879ca2e\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;slideInUp&quot;}\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">uk\u0142ady r\u00f3wna\u0144 liniowych<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-123d20a e-flex e-con-boxed e-con e-parent\" data-id=\"123d20a\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e1ac843 elementor-widget elementor-widget-heading\" data-id=\"e1ac843\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Uk\u0142ady r\u00f3wna\u0144 liniowych mo\u017cemy rozwi\u0105za\u0107 na dwa sposoby:<br><br>\nMetod\u0105 Cramera (mo\u017cemy j\u0105 stosowa\u0107, gdy liczba r\u00f3wna\u0144 w uk\u0142adzie jest taka sama, jak liczba niewiadomych).\n<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6f0a305 e-flex e-con-boxed e-con e-parent\" data-id=\"6f0a305\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-5916eb2 e-con-full e-flex e-con e-child\" data-id=\"5916eb2\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a5242f2 elementor-widget__width-initial elementor-widget elementor-widget-toggle\" data-id=\"a5242f2\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pmpro\"><div class=\"pmpro_card pmpro_content_message\"><div class=\"pmpro_card_content\">nie czekaj d\u0142u\u017cej, wykup pakiet i sprawd\u017a rozwi\u0105zania.<br \/><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\">Przed\u0142u\u017c pakiet!<\/a><\/div><div class=\"pmpro_card_actions pmpro_font-medium\">Already a member? <a href=\"https:\/\/bezwarunku.pl\/index.php\/membership-login\/?redirect_to=https%3A%2F%2Fbezwarunku.pl%2Findex.php%2Fuklady-rownan-liniowych-macierze%2F\">Log in here<\/a><\/div><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-25461bb elementor-widget elementor-widget-heading\" data-id=\"25461bb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">1. Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144:  $$\\left\\{\\begin{array}{l}2x-5y+z=6\\\\-5x-4y+z=0\\\\3x+3y-z=-3\\end{array}\\right.$$<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-9677922 e-con-full e-flex e-con e-child\" data-id=\"9677922\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7410ad8 elementor-widget__width-initial elementor-widget elementor-widget-toggle\" data-id=\"7410ad8\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pmpro\"><div class=\"pmpro_card pmpro_content_message\"><div class=\"pmpro_card_content\">nie czekaj d\u0142u\u017cej, wykup pakiet i sprawd\u017a rozwi\u0105zania.<br \/><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\">Przed\u0142u\u017c pakiet!<\/a><\/div><div class=\"pmpro_card_actions pmpro_font-medium\">Already a member? <a href=\"https:\/\/bezwarunku.pl\/index.php\/membership-login\/?redirect_to=https%3A%2F%2Fbezwarunku.pl%2Findex.php%2Fuklady-rownan-liniowych-macierze%2F\">Log in here<\/a><\/div><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-733ba32 elementor-widget elementor-widget-heading\" data-id=\"733ba32\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">2.  Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144:  $$\\left\\{\\begin{array}{l}26x-33y=0\\\\-104x+132y=1\\end{array}\\right.$$<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-1071602 e-con-full e-flex e-con e-child\" data-id=\"1071602\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c8ae755 elementor-widget__width-initial elementor-widget elementor-widget-toggle\" data-id=\"c8ae755\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pmpro\"><div class=\"pmpro_card pmpro_content_message\"><div class=\"pmpro_card_content\">nie czekaj d\u0142u\u017cej, wykup pakiet i sprawd\u017a rozwi\u0105zania.<br \/><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\">Przed\u0142u\u017c pakiet!<\/a><\/div><div class=\"pmpro_card_actions pmpro_font-medium\">Already a member? <a href=\"https:\/\/bezwarunku.pl\/index.php\/membership-login\/?redirect_to=https%3A%2F%2Fbezwarunku.pl%2Findex.php%2Fuklady-rownan-liniowych-macierze%2F\">Log in here<\/a><\/div><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fa5e944 elementor-widget elementor-widget-heading\" data-id=\"fa5e944\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">3.  Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144:  $$\\left\\{\\begin{array}{l}5x+7y=31\\\\-15x-21y=-93\\end{array}\\right.$$<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-c4ed42b e-flex e-con-boxed e-con e-parent\" data-id=\"c4ed42b\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-db83ec0 elementor-widget elementor-widget-heading\" data-id=\"db83ec0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Z wykorzystaniem operacji elementarnych na macierzach (metoda Gaussa-Jordana):<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-70b6cbe e-flex e-con-boxed e-con e-parent\" data-id=\"70b6cbe\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-95c36b4 e-con-full e-flex e-con e-child\" data-id=\"95c36b4\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1cee83f elementor-widget__width-initial elementor-widget elementor-widget-toggle\" data-id=\"1cee83f\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pmpro\"><div class=\"pmpro_card pmpro_content_message\"><div class=\"pmpro_card_content\">nie czekaj d\u0142u\u017cej, wykup pakiet i sprawd\u017a rozwi\u0105zania.<br \/><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\">Przed\u0142u\u017c pakiet!<\/a><\/div><div class=\"pmpro_card_actions pmpro_font-medium\">Already a member? <a href=\"https:\/\/bezwarunku.pl\/index.php\/membership-login\/?redirect_to=https%3A%2F%2Fbezwarunku.pl%2Findex.php%2Fuklady-rownan-liniowych-macierze%2F\">Log in here<\/a><\/div><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-10fbb73 elementor-widget elementor-widget-heading\" data-id=\"10fbb73\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">4. Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144:  $$\\left\\{\\begin{array}{l}2x-5y+z=6\\\\-5x-4y+z=0\\\\3x+3y-z=-3\\end{array}\\right.$$<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-b6fa7d7 e-con-full e-flex e-con e-child\" data-id=\"b6fa7d7\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f72c98a elementor-widget__width-initial elementor-widget elementor-widget-toggle\" data-id=\"f72c98a\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pmpro\"><div class=\"pmpro_card pmpro_content_message\"><div class=\"pmpro_card_content\">nie czekaj d\u0142u\u017cej, wykup pakiet i sprawd\u017a rozwi\u0105zania.<br \/><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\">Przed\u0142u\u017c pakiet!<\/a><\/div><div class=\"pmpro_card_actions pmpro_font-medium\">Already a member? <a href=\"https:\/\/bezwarunku.pl\/index.php\/membership-login\/?redirect_to=https%3A%2F%2Fbezwarunku.pl%2Findex.php%2Fuklady-rownan-liniowych-macierze%2F\">Log in here<\/a><\/div><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-579e182 elementor-widget elementor-widget-heading\" data-id=\"579e182\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">5.  Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144:  $$\\left\\{\\begin{array}{l}2x+3y-z=1\\\\-x+2y+3z=2\\\\3x-2y+z=-1\\\\x+5y+2z=3\\end{array}\\right.$$<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-79a13fb e-con-full e-flex e-con e-child\" data-id=\"79a13fb\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5c9d42e elementor-widget__width-initial elementor-widget elementor-widget-toggle\" data-id=\"5c9d42e\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pmpro\"><div class=\"pmpro_card pmpro_content_message\"><div class=\"pmpro_card_content\">nie czekaj d\u0142u\u017cej, wykup pakiet i sprawd\u017a rozwi\u0105zania.<br \/><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\">Przed\u0142u\u017c pakiet!<\/a><\/div><div class=\"pmpro_card_actions pmpro_font-medium\">Already a member? <a href=\"https:\/\/bezwarunku.pl\/index.php\/membership-login\/?redirect_to=https%3A%2F%2Fbezwarunku.pl%2Findex.php%2Fuklady-rownan-liniowych-macierze%2F\">Log in here<\/a><\/div><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-af11ed1 elementor-widget elementor-widget-heading\" data-id=\"af11ed1\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">6.  Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144:  $$\\left\\{\\begin{array}{l}26x-33y=0\\\\-104x+132y=1\\end{array}\\right.$$<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-e2969c2 e-con-full e-flex e-con e-child\" data-id=\"e2969c2\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-bf78bfe elementor-widget__width-initial elementor-widget elementor-widget-toggle\" data-id=\"bf78bfe\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pmpro\"><div class=\"pmpro_card pmpro_content_message\"><div class=\"pmpro_card_content\">nie czekaj d\u0142u\u017cej, wykup pakiet i sprawd\u017a rozwi\u0105zania.<br \/><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\">Przed\u0142u\u017c pakiet!<\/a><\/div><div class=\"pmpro_card_actions pmpro_font-medium\">Already a member? <a href=\"https:\/\/bezwarunku.pl\/index.php\/membership-login\/?redirect_to=https%3A%2F%2Fbezwarunku.pl%2Findex.php%2Fuklady-rownan-liniowych-macierze%2F\">Log in here<\/a><\/div><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c549bf3 elementor-widget elementor-widget-heading\" data-id=\"c549bf3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">7.  Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144:  $$\\left\\{\\begin{array}{l}5x+7y=31\\\\-15x-21y=-93\\end{array}\\right.$$<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-db7e2f4 e-con-full e-flex e-con e-child\" data-id=\"db7e2f4\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-d58d2d9 elementor-widget__width-initial elementor-widget elementor-widget-toggle\" data-id=\"d58d2d9\" data-element_type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"pmpro\"><div class=\"pmpro_card pmpro_content_message\"><div class=\"pmpro_card_content\">nie czekaj d\u0142u\u017cej, wykup pakiet i sprawd\u017a rozwi\u0105zania.<br \/><a href=\"https:\/\/bezwarunku.pl\/index.php\/wykup-dostep\/\">Przed\u0142u\u017c pakiet!<\/a><\/div><div class=\"pmpro_card_actions pmpro_font-medium\">Already a member? <a href=\"https:\/\/bezwarunku.pl\/index.php\/membership-login\/?redirect_to=https%3A%2F%2Fbezwarunku.pl%2Findex.php%2Fuklady-rownan-liniowych-macierze%2F\">Log in here<\/a><\/div><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0172e61 elementor-widget elementor-widget-heading\" data-id=\"0172e61\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">8. Wyznacz macierz X z r\u00f3wnania:  $$3\\cdot x-A\\cdot x=A^2,\\;dla\\;A=\\begin{bmatrix}4&amp;1\\\\3&amp;-2\\end{bmatrix}$$<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>zarejestruj si\u0119 MACIERZE uk\u0142ady r\u00f3wna\u0144 liniowych Uk\u0142ady r\u00f3wna\u0144 liniowych mo\u017cemy rozwi\u0105za\u0107 na dwa sposoby: Metod\u0105 Cramera (mo\u017cemy j\u0105 stosowa\u0107, gdy liczba r\u00f3wna\u0144 w uk\u0142adzie jest taka sama, jak liczba niewiadomych). Nie b\u0105d\u017a dziad, wykup pakiet.Przed\u0142\u00f3\u017c pakiet! 1. Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144: $$left{begin{array}{l}2x-5y+z=6\\-5x-4y+z=0\\3x+3y-z=-3end{array}right.$$ Nie b\u0105d\u017a dziad, wykup pakiet.Przed\u0142\u00f3\u017c pakiet! 2. Rozwi\u0105\u017c uk\u0142ad r\u00f3wna\u0144: $$left{begin{array}{l}26x-33y=0\\-104x+132y=1end{array}right.$$ Nie b\u0105d\u017a dziad, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"templates\/landing.php","meta":{"pmpro_default_level":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"class_list":["post-3901","page","type-page","status-publish","hentry","pmpro-has-access","entry","owp-thumbs-layout-horizontal","owp-btn-normal","owp-tabs-layout-horizontal","has-no-thumbnails","has-product-nav"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/bezwarunku.pl\/index.php\/wp-json\/wp\/v2\/pages\/3901","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bezwarunku.pl\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/bezwarunku.pl\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/bezwarunku.pl\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bezwarunku.pl\/index.php\/wp-json\/wp\/v2\/comments?post=3901"}],"version-history":[{"count":34,"href":"https:\/\/bezwarunku.pl\/index.php\/wp-json\/wp\/v2\/pages\/3901\/revisions"}],"predecessor-version":[{"id":4591,"href":"https:\/\/bezwarunku.pl\/index.php\/wp-json\/wp\/v2\/pages\/3901\/revisions\/4591"}],"wp:attachment":[{"href":"https:\/\/bezwarunku.pl\/index.php\/wp-json\/wp\/v2\/media?parent=3901"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}