ICSE Class 10th Mathematics Chapter 9 - Matrices Important Questions with Answers

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

If A and B are two matrices of orders 3 × 2 and 2 × 3 respectively; then their sum A + B is possible.

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

The matrices A_2 × 3 and B_2 × 3 are conformable for subtraction.

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

Transpose of a 2 × 1 matrix is a 2 × 1 matrix.

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