Question

In parts a and b, A is a matrix representation of a linear transformation in the standard basis. Find a matrix representation of the linear transformation in the new basis. show all steps.

a. A = 2x2 matrix with the first row being 2 and -1, and the second row being 1 and 3; new basis = {<1, 2> , < 1, 1> }

b. A = 3x3 matrix with the first row being 2, 1, -1, the second row being, 0, 1, 3, and the third row being -1, 2, 1. new basis = {< 0, -2, 1 > , <1, 2, 0> , <1, 1, 1,>}.

Answer 1