Answer to Question #95868 in Linear Algebra for Ananna Mitra

Question

Let V = M2×w(R) and W = P2(R). Define T

a b
c d
= a + b + (c − d)x + bx2
.
Let
β =
1 0
0 0
,

0 1
0 0
,

0 0
1 0
,

0 0
0 1
and
γ = {1, x, x2
}.
Find φβ and φγ. Find the matrix A so that LAφβ = φγT. Support your answer
by evaluating both maps on M =

3 1
−1 4

Answer 1

Dear Ananna Mitra, your question requires a lot of work, which neither of our experts is ready to perform for free. We advise you to convert it to a fully qualified order and we will try to help you. Please click the link below to proceed: Submit order