Question

Which of the following is correct about scalar multiplication of a matrix A?

• A. Every element of a particular row is multiplied by the scalar when a matrix is multiplied by the scalar.
• B. One of the elements of the matrix is multiplied with the scalar when a matrix is multiplied with the scalar.
• C. Every element of a particular column is multiplied by the scalar when a matrix is multiplied by the scalar.
• D. Every element of the matrix is multiplied with the scalar when a matrix is multiplied with a scalar.

Answer 1

The correct option is D

Every element of the matrix is multiplied with the scalar when a matrix is multiplied with a scalar.

We have discussed in the video that when a matrix, let’s say A is multiplied by a scalar k then to obtain k x A we have to multiply each element of matrix A by the scalar k and not a particular element or a particular row.