Let L: R3 R2 be defined by the following. *** Suppose --000 is an ordered basis for the domain and B₂ = {[1][2]} ' P = B₁ 88- ↓ 1 is an ordered basis for the range. Find the matrix representation P for L relative to B₁ and B₂ such that [L(u)]₂=P[u]B₁'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let L: R3 R2 be defined by the following.
X1 + X3
***]
8x2
Suppose
X1
L X₂
P =
=
1
-(HH)
4
3
3 1 2
B₁ =
4
={[8][;}}
is an ordered basis for the domain and B₂ =
is an ordered basis for the range. Find the matrix representation P for L relative to B₁ and B₂ such that [L(u)]b₂ = P[u]ß₁'
Transcribed Image Text:Let L: R3 R2 be defined by the following. X1 + X3 ***] 8x2 Suppose X1 L X₂ P = = 1 -(HH) 4 3 3 1 2 B₁ = 4 ={[8][;}} is an ordered basis for the domain and B₂ = is an ordered basis for the range. Find the matrix representation P for L relative to B₁ and B₂ such that [L(u)]b₂ = P[u]ß₁'
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