Question

For each of the following linear operators L on R2, determine the matrix A representing L with respect to {e1,e2} and the matrix B representing L with respect to {u1 = (1,1)^T, u2=(-1,1)^T:

a. L(x) = (-x1,x2)^T
b. L(x) = -x-vector
c. L(x) = (x2,x1)^T
d. L(x) = 1/2 x-vector
e. L(x) = x2,e2

Answer 1

Correction: e. L(x) =x2e2