et B = (b₁,b₂,b3}, D={d₁,d₂} be bases for vector spaces V and W, respectively. et T:V---> W be a linear transformation with the following properties. (b₁)=2d₁+3d₂, T(b₂) = -2d₁+4d₂, T(b3)=8d₁ hen the matrix from B to D: PD-B 4 -1 0 4 3 350 -15 008 08 430 -150 081 b. d. 2-28 340

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let B = {b₁,b₂,b3}, D={d₁,d₂} be bases for vector spaces V and W, respectively.
Let T:V---> W be a linear transformation with the following properties.
T(b₁)=2d₁+3d₂, T(b₂) = −2d₁+4d₂, T(b3)=8d₁
Then the matrix from B to D: PD + B
a.
C.
4 -1 0
35 0
008
4 30
-150
0 80
b.
d.
4 3
-15
08
2-28
34 0
Transcribed Image Text:Let B = {b₁,b₂,b3}, D={d₁,d₂} be bases for vector spaces V and W, respectively. Let T:V---> W be a linear transformation with the following properties. T(b₁)=2d₁+3d₂, T(b₂) = −2d₁+4d₂, T(b3)=8d₁ Then the matrix from B to D: PD + B a. C. 4 -1 0 35 0 008 4 30 -150 0 80 b. d. 4 3 -15 08 2-28 34 0
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