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11TH · MATH

Question 4

menu_bookSolutionmenu_bookTheorymenu_book•(i)(A+B)2≠A2+2AB+B2(A+B)^2\ne A^2+2AB+B^2(A+B)2=A2+2AB+B2menu_book•(ii)(A−B)2≠A2−2AB+B2(A-B)^2\ne A^2-2AB+B^2(A−B)2=A2−2AB+B2menu_book•(iii)(A+B)(A−B)≠A2−B2(A+B)(A-B)\ne A^2-B^2(A+B)(A−B)=A2−B2
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11TH · MATH

Question 4

menu_bookSolutionmenu_bookTheorymenu_book•(i)(A+B)2≠A2+2AB+B2(A+B)^2\ne A^2+2AB+B^2(A+B)2=A2+2AB+B2menu_book•(ii)(A−B)2≠A2−2AB+B2(A-B)^2\ne A^2-2AB+B^2(A−B)2=A2−2AB+B2menu_book•(iii)(A+B)(A−B)≠A2−B2(A+B)(A-B)\ne A^2-B^2(A+B)(A−B)=A2−B2
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Accedmychevron_right11thchevron_rightmathchevron_rightMatrices And Determinantschevron_rightExercise 4.1

(iii)

(A+B)(A−B)=A2−AB+BA−B2≠A2−B2 in general.(A+B)(A-B)=A^2-AB+BA-B^2\ne A^2-B^2\ \text{in general.}(A+B)(A−B)=A2−AB+BA−B2=A2−B2 in general.
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(iii)