Let B = {b₁,b₂} and C = {C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B. •[]}]}•D][] [] b₂ = C₁ C₂ b₁ = - 1 Find the change-of-coordinates matrix from B to C. P C+B (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 12E
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Subject: algebra 

Let B = {b₁,b₂} and C = {C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B.
•[]}]}•D][] []
b₂ =
C₁
C₂
b₁ =
- 1
Find the change-of-coordinates matrix from B to C.
P
C+B
(Simplify your answer.)
Transcribed Image Text:Let B = {b₁,b₂} and C = {C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C and the change-of-coordinates matrix from C to B. •[]}]}•D][] [] b₂ = C₁ C₂ b₁ = - 1 Find the change-of-coordinates matrix from B to C. P C+B (Simplify your answer.)
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