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Question 3 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at March 29, 2023 by

If A = [aij] is a square matrix of order 2 such that aij = {(1,Β  when i β‰ j 0,Β  when i=jΒ  )─ , then A2 is :

(a) [8(1 0 1 0)]Β  (b) [8(1 1 0 0)]Β  Β  Β  (c) [8(1 1 1 0)]Β  (d) [8(1 0 0 1)]Β 

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Question 3 If A = [π‘Žπ‘–π‘—] is a square matrix of order 2 such that π‘Žπ‘–π‘— = {β–ˆ(1, π‘€β„Žπ‘’π‘› 𝑖 ≠𝑗@0, π‘€β„Žπ‘’π‘› 𝑖=𝑗 )─ , then A2 is : (a) [β– 8(1&[email protected]&0)] (b) [β– 8(1&[email protected]&0)] (c) [β– 8(1&[email protected]&0)] (d) [β– 8(1&[email protected]&1)] For a 2 Γ— 2 matrix A = [β– 8(π‘Ž_11&π‘Ž[email protected]π‘Ž_21&π‘Ž_22 )] Given that π‘Ž_𝑖𝑗={β–ˆ(1, 𝑖≠ 𝑗@0, 𝑖=𝑗)─ Thus, π‘Ž_11 = 0, π‘Ž_22 = 0 , π‘Ž_12 = 1, π‘Ž_21 = 1 So, our matrix becomes A = [β– 8(𝟎&𝟏@𝟏&𝟎)] Now, A2 = [β– 8(0&[email protected]&0)][β– 8(0&[email protected]&0)] = [β– 8(0(0)+1(1)&0(1)+1(0)@1(0)+0(1)&1(1)+0(0))] = [β– 8(𝟏&𝟎@𝟎&𝟏)] So, the correct answer is (d)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.