Title Advanced Series 10th Class Maths- Solutions.pdf ✅

Class 10 – Maths | A – 10 Matrices and Determinants 2 3. Correct option: (A) Given that [1 x 1] [ 1 3 2 0 5 1 0 3 2] [ 1 1 x] = 0 Using the Row-Column multiplication rule we can write [1 x 1] [ 1 3 2 0 5 1 0 3 2] = [1 6 + 5x 4 + x] So we can put the value to find the value of matrix multiplication [1 x 1] [ 1 3 2 0 5 1 0 3 2] [ 1 1 x] = [1 6 + 5x 4 + x] [ 1 1 x] = [1 + 6 + 5x + 4x + x 2] So we can write x 2 + 9x + 7 = 0 => x = −9 ± √81 − 28 2 = −9 ± √53 2 Then the correct option is A) 4. Correct option: (C) Given that A = [ i 0 0 i ], n ∈ N We have to find the value of A 4n We can write A 2 = [ i 0 0 i ][ i 0 0 i ] = [ i 2 0 0 i 2 ] = [ −1 0 0 −1 ] A 4 = [ −1 0 0 −1 ][ −1 0 0 −1 ] = [ 1 0 0 1 ] = I Therefore we can write A 4n = I n = I, n ∈ N Then the correct option is C) 5. Correct option: (D) Given that U = [2 −3 4], V = [ 3 2 1] , X = [0 2 3], Y = [ 2 2 4] We have to find the value of UV + XY