Let E = {u1, u2, u3} and F = {b1, b2}, where For each of the following linear t...

Let E = {u₁, u₂, u₃} and F = {b₁, b₂}, where

For each of the following linear transformations L from R³ into R², find the matrix representing L with respect to the ordered bases E and F:

(a) L ( x ) = (x₃, x₁)^T

(b) L ( x ) = (x₁ + x₂, x₁ − x₃)^T

(c) L ( x ) = (2x₂,−x₁)^T