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1 Let P = -3 -5 4 6 -7 H10 2 2-1 - 8 = 4₂ 43 = V₂ = 5, and V33 4 Complete parts (a) and (b). = 6 a. Find a basis (U₁, U₂, U3} for R³ such that P is the change-of-coordinates matrix from {u₁, U₂, U3} to the basis {V₁, V2, V3}. [Hint: What do the columns of P represent?] C+B

1 Let P = -3 -5 4 6 -7 H10 2 2-1 - 8 = 4₂ 43 = V₂ = 5, and V33 4 Complete parts (a) and (b). = 6 a. Find a basis (U₁, U₂, U3} for R³ such that P is the change-of-coordinates matrix from {u₁, U₂, U3} to the basis {V₁, V2, V3}. [Hint: What do the columns of P represent?] C+B

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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1 Let P = -3 -5 4 6 -7 H10 2 2-1 - 8 = 4₂ 43 = V₂ = 5, and V33 4 Complete parts (a) and (b). = 6 a. Find a basis (U₁, U₂, U3} for R³ such that P is the change-of-coordinates matrix from {u₁, U₂, U3} to the basis {V₁, V2, V3}. [Hint: What do the columns of P represent?] C+B
Transcribed Image Text:1 Let P = -3 -5 4 6 -7 H10 2 2-1 - 8 = 4₂ 43 = V₂ = 5, and V33 4 Complete parts (a) and (b). = 6 a. Find a basis (U₁, U₂, U3} for R³ such that P is the change-of-coordinates matrix from {u₁, U₂, U3} to the basis {V₁, V2, V3}. [Hint: What do the columns of P represent?] C+B
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