(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

If A = `[(8, -3)]` and B = `[(4, -5)]`; find A + B

If A = `[(8, -3)]` and B = `[(4, -5)]`; find B – A

If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find B + C

If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A – C

If `A = [(2),(5)], B = [(1),(4)]` and `C = [(6),(-2)]`, find A + B – C

Wherever possible, write the following as a single matrix.

`[(1, 2),(3, 4)] + [(-1, -2),(1, -7)]`

Wherever possible, write the following as a single matrix.

`[(2, 3, 4),(5, 6, 7)] - [(0, 2, 3),(6, -1, 0)]`

Wherever possible, write the following as a single matrix.

`[(0, 1, 2),(4, 6, 7)] + [(3, 4),(6, 8)]`

Find x and y from the given equations:

`[(5, 2),(-1, y - 1)] - [(1, x - 1),(2, -3)] = [(4, 7),(-3, 2)]`

Find x and y from the given equations:

`[(-8, x)] + [(y, -2)] = [(-3, 2)]`

Given : M = `[(5, -3),(-2, 4)]`, find its transpose matrix M^t. If possible, find M + M^t

Given : M = `[(5, -3),(-2, 4)]`, find its transpose matrix M^t. If possible, find M^t – M

Evaluate:     

`2[(-1      0)/(2 -3)]  +[(3      3)/(5    0)]`

State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

A + B = B + A

State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

A – B = B – A

State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

(B . C) . A = B . (C . A)

State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

 (A + B) . C = A . C + B . C

State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

A . (B – C) = A . B – A . C

State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

(A – B) . C = A . C – B . C

State, with reason, whether the following is true or false. A, B and C are matrices of order 2 × 2.

A² – B² = (A + B) (A – B)