3 Suppose

v_(1),dots,v_(n)

is a basis of

V

and

w_(1),dots,w_(m)

is a basis of

W

.\ (a) Show that if

S,TinL(V,W)

, then

M(S+T)=M(S)+M(T)

.\ (b) Show that if

\\\\lambda inF

and

TinL(V,W)

, then

M(\\\\lambda T)=\\\\lambda M(T)

.\ This exercise asks you to verify 3.35 and 3.38 .

3 Suppose v1,,vn is a basis of V and w1,,wm is a basis of W. (a) Show that if S,TL(V,W), then M(S+T)=M(S)+M(T). (b) Show that if F and TL(V,W), then M(T)=M(T). This exercise asks you to verify 3.35 and 3.38