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

Find the value of 𝐴 2 , where A is a 2Γ—2 matrix whose elements are given by π‘Žπ‘–π‘— = {1 if i β‰ 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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Question 5 (Choice 1) Find the value of 𝐴2 , where A is a 2 Γ— 2 matrix whose elements are given by π‘Žπ‘–π‘— = {β–ˆ(1 𝑖𝑓 𝑖 ≠𝑗@0 𝑖𝑓 𝑖=𝑗)─ A = [β– 8(π‘Ž_11&π‘Ž_12@π‘Ž_21&π‘Ž_22 )] A = [β– 8(0&1@1&0)] Now, A2 = [β– 8(0&1@1&0)] Γ— [β– 8(0&1@1&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)]

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.