Let the matrix of L: R³ R² with respect to the bases S = and -{-}} W₁ T= c. Find L W2 O be A= a. Find [L(v₁)]T [L(V₂)]T [L(V3)] T b. Find L(v₁), L(V₂), L(V3) 12 -3-0-0) V₁ V₂ V3

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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3. Let the matrix of L: R³ →R² with respect to the bases S =
and
T-{]-[-]}
T=
W₁ W₂
a. Find [L(v₁)T[L(V₂)]T [L(V3)]T
b. Find L(v₁), L(V₂), L(V3)
c. Find L
12
--CO
be A=
(
(100)
Transcribed Image Text:3. Let the matrix of L: R³ →R² with respect to the bases S = and T-{]-[-]} T= W₁ W₂ a. Find [L(v₁)T[L(V₂)]T [L(V3)]T b. Find L(v₁), L(V₂), L(V3) c. Find L 12 --CO be A= ( (100)
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