CBSE Class 12 Sample Paper for 2021 Boards

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Maths Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 5 – Choice 1 - CBSE Class 12 Sample Paper for 2021 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 14, 2026 by

Find the value of 𝐴 2 , where A is a 2×2 matrix whose elements are given by 𝑎𝑖𝑗 = {1 if i ≠j 0 if i = j

Find the value of A^2 , where A is a 2 x 2 matrix whose elements are

 

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Transcript

Question 5 (Choice 1) Find the value of 𝐴2 , where A is a 2 × 2 matrix whose elements are given by 𝑎𝑖𝑗 = {█(1 𝑖𝑓 𝑖 ≠𝑗@0 𝑖𝑓 𝑖=𝑗)┤ A = [■8(𝑎_11&𝑎_12@𝑎_21&𝑎_22 )] A = [■8(0&1@1&0)] Now, A2 = [■8(0&1@1&0)] × [■8(0&1@1&0)] = [■8(0(0)+1(1)&0(1)+1(0)@1(0)+0(1)&1(1)+0(0))] = [■8(𝟏&𝟎@𝟎&𝟏)]

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