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

State, whether the following statement is true or false. If false, give a reason.

Transpose of a square matrix is a square matrix.

State, whether the following statement is true or false. If false, give a reason.

A column matrix has many columns and only one row.

Given : `[(x, y + 2),(3, z - 1)] = [(3, 1),(3, 2)]`; find x, y and z.

Solve for a, b and c; if `[(-4, a + 5),(3, 2)] = [(b + 4, 2),(3, c- 1)]`

Solve for a, b and c; if `[(a, a - b),(b + c, 0)] = [(3, -1),(2, 0)]`

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