Find a matrix representative for the linear functions
(a) L: R2 †’ R2 that maps ei to

and e2 to

(b) M: R2 †’ R2 that takes e1 to

and e2 to

and
(c) N: R2 †’ R2 that takes

and

(d) Explain why M = N —‹ L.
(e) Verify part (d) by multiplying the matrix representatives in the proper order.

3 (73) 2 2 (-1)to(3) 2 2