CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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

## (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

Get live Maths 1-on-1 Classs - Class 6 to 12

### Transcript

Question 3 If A = [πππ] is a square matrix of order 2 such that πππ = {β(1, π€βππ π β π@0, π€βππ π=π )β€ , 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_11&π[email protected]π_21&π_22 )] Given that π_ππ={β(1, πβ  π@0, π=π)β€ Thus, π_11 = 0, π_22 = 0 , π_12 = 1, π_21 = 1 So, our matrix becomes A = [β 8(π&π@π&π)] 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(π&π@π&π)] So, the correct answer is (d)