Let S P₂ P₂ be the linear transformation where S(x) = -16x - 36 and S(1) = 6x + 14. -4 0 Suppose MB (S) = [9] Let & {a, 1} be the standard basis of P₂. Then P& B = 1 0 1 0 Then B = {x+ x+ }.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Let S P₂ → P₂ be the linear transformation where S(x) = -16x - 36 and S(1) = 6x +14.
-40
0
2
Suppose MB (S)
Let & = {x, 1} be the standard basis of P2.
Then P& B =
1
0
1
0
=
Then B = {x+
x+
}.
Transcribed Image Text:Let S P₂ → P₂ be the linear transformation where S(x) = -16x - 36 and S(1) = 6x +14. -40 0 2 Suppose MB (S) Let & = {x, 1} be the standard basis of P2. Then P& B = 1 0 1 0 = Then B = {x+ x+ }.
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