Let B=(b₁,b₂), C=(C₁,C₂), be bases for R² b₁ = (-5,-3), b₂ =(3,2), C₁=(1,3), C₂ = (1,2) Find the change-of-coordinates matrix from B to C....... a. -4 PC+8 = [-12-7] b. Pc+B= C. Pc+B= 74 12 7 -2 3 -3 5 d. Pe-s=[2²4] Pc+B 3 -1 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 33EQ
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Let B=(b₁,b₂), C={C₁,C₂), be bases for R²
b₁ = (-5, -3), b₂ =(3,2), C₁=(1,3), C₂ = (1,2)
Find the change-of-coordinates matrix from B to C .......
a. PC+B=
-4
- [ 212₂27]
-12 7
b. PC + 8 = [127]
74
C.
-2 3
-35
-2
- 8- [ 3² +1]
PC+B=
d. Pc+B
Transcribed Image Text:Let B=(b₁,b₂), C={C₁,C₂), be bases for R² b₁ = (-5, -3), b₂ =(3,2), C₁=(1,3), C₂ = (1,2) Find the change-of-coordinates matrix from B to C ....... a. PC+B= -4 - [ 212₂27] -12 7 b. PC + 8 = [127] 74 C. -2 3 -35 -2 - 8- [ 3² +1] PC+B= d. Pc+B
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