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.