Question

For the given matrix A, let t(x)=Ax. What does the function t(x) represent?

A. Scalar multiplication
B. Matrix addition
C. Matrix inversion
D. Matrix transposition

Answer 1

The function t(x)=Ax represents Scalar multiplication for the given matrix A.

Step-by-step explanation:

The function t(x)=Ax represents Scalar multiplication for the given matrix A.

Scalar multiplication involves multiplying a matrix by a scalar (a number). In this case, the scalar is represented by the variable x. So, by multiplying the matrix A by x, we are performing scalar multiplication.

For example, if A is a 2x2 matrix and x is 3, then t(x)=Ax is the result of multiplying every element in A by 3.