Let L: R2 R² be defined by L X₁ X₁ + 6x2 . Suppose B₁ = {₁}} 4x₁ - x₂ matrix representation P for L relative to B₁ and B₂ such that [L(u)]B₂ = P[u]B₁' P = ↓ 1 = nordered basis for the domain and B₂ = {[²][2]} is an ordered basis for the range. Find the

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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matrix rp

X1
X₁ + 6x₂
x2
4x₁ - x2
matrix representation P for L relative to B₁ and B₂ such that [L(u)]B₂ = P[u]b₁*
Let L: R2 R2 be defined by L
P =
=
1
Suppose B₁ = {[],
-{8}}]}
is an ordered basis for the domain and B₂
=
3
4
62
is an ordered basis for the range. Find the
Transcribed Image Text:X1 X₁ + 6x₂ x2 4x₁ - x2 matrix representation P for L relative to B₁ and B₂ such that [L(u)]B₂ = P[u]b₁* Let L: R2 R2 be defined by L P = = 1 Suppose B₁ = {[], -{8}}]} is an ordered basis for the domain and B₂ = 3 4 62 is an ordered basis for the range. Find the
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