Question

Maximum Marks- 60
Attempt Six Questions in all, selecting not more than Two Questions from each section.
Section - A
1(a) Let V = {(ay, ay):27, az E R). For (ay, ay),(by, b) e V and c e R, define
(ay, ay) + (by, b) = (az + 2b, az + 3b2) and c(ay, ay) = (ca,,caz).
Is Va vector space over R with these operations? Examine all the properties and justify your
answer.
(b) Let V= M2x2(F), be the vector space of all 2 x 2 matrices over the real number field.
Define
0
[5]
W, = {le b) € V: a,b,c ef}, W, = {C. 9) ev:a.bef}
Prove that W. and W, are subspaces of V, and find the dimensions of W.,W2W + W,and
WW2
[5]​

Answer 1

Answer:

I think exam is going on

Step-by-step explanation:

please help him fast