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Let L: R³ → R² be defined by the following. 80 Suppose 000) =P[u]B₁ is an n ordered basis for the domain and B₂ = {[3] [2}} is an ordered basis for the range. Find the matrix representation P for L relative to B₁ and B₂ such that [L(u)]Â₂ = P = B₁ = ↓t

Let L: R³ → R² be defined by the following. 80 Suppose 000) =P[u]B₁ is an n ordered basis for the domain and B₂ = {[3] [2}} is an ordered basis for the range. Find the matrix representation P for L relative to B₁ and B₂ such that [L(u)]Â₂ = P = B₁ = ↓t

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let L: R³ R2 be defined by the following. X₁ X₁ + X3 Ba L X₂ Suppose B₁ --CHAD is an ordered basis for the domain and B₂ = {[3][;}} is an ordered basis for the range. Find the matrix representation P for L relative to B₁ and B₂ such that [L(u)]₂ 1888- P = = → P[u]B₁
Transcribed Image Text:Let L: R³ R2 be defined by the following. X₁ X₁ + X3 Ba L X₂ Suppose B₁ --CHAD is an ordered basis for the domain and B₂ = {[3][;}} is an ordered basis for the range. Find the matrix representation P for L relative to B₁ and B₂ such that [L(u)]₂ 1888- P = = → P[u]B₁
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