Question

Given matrix A = `[(2, 3), (1, 2)]` and matrix B = [2 −4]. Product AB is a matrix of order:

Options

• 2 × 2

• 2 × 1

• 1 × 2

• Product AB is not possible.

Answer 1

Product AB is not possible.

Explanation:

For AB to exist:

Number of columns in A = Number of rows in B

Order of matrix A = 2 × 2

Order of matrix B = 1 × 2

Columns in A = 2

Rows in B = 1

∴ Product AB is not possible.