Question

What happens to the order of a matrix after scalar multiplication?

Options

• The order changes from \[m\times n\] to \[k\times n\].

• The order of matrix does not change after scalar multiplication.

• The order changes from \[m\times n\] to \[n\times m\].

• The order becomes the order of the scalar.

Answer 1

Scalar multiplication changes the entries of a matrix, not its order. Thus, a matrix of order \[m\times n\] remains of order \[m\times n\].