Let L be the linear operator on R3 defined by Determine the standard matrix rep...

Let L be the linear operator on R³ defined by

Determine the standard matrix representation A of L, and use A to find L(x) for each of the following vectors x:

(a) x = (1, 1, 1)^T (b) x = (2, 1, 1)^T (c) x = (−5, 3, 2)^T