4. Define Let T: M2x2 (R) → P2(R) by T (a b) = (a + b) + (2d) x + ba². c d B = {69). C )·(9)· (9)} and y = {1, x, x²}. Compute [T].

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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section 2.2:

Number 4 

4. Define
Let
T: M2x2 (R) → P2 (R) by T
T(2)
b) = (a + b) + (2d) x + ba².
0
B
=
- {69). ( ) ( ) (9)}
).
1
0
Compute [T].
and = {1, x, x²}.
Transcribed Image Text:4. Define Let T: M2x2 (R) → P2 (R) by T T(2) b) = (a + b) + (2d) x + ba². 0 B = - {69). ( ) ( ) (9)} ). 1 0 Compute [T]. and = {1, x, x²}.
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