Q:

Which of the following statements are true about scalar multiplication of matrices?You can multiply a matrix of any size by a scalar.For any matrix A, 1 × A = A.For any scalar r, rI = I, where I is the identity matrix.You can scale geometric figures using scalar multiplication.Scalar multiplication is a shortcut for repeated addition of the same matrix.Scalar multiplication is not possible for matrices that are not square.

Accepted Solution

A:
Scalar multiplication of a matrix refers to the multiplication of all the elements of the matrix by an ordinary number which is called a scalar. From the given options the statements which are true about scalar multiplication of matrices are; a)       You can multiply a matrix of any size by a scalar. b)      For any matrix A, 1 × A = A. c)       Scalar multiplication is a shortcut for repeated addition of the same matrix.