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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. -1 1 •- -| ¯ ; }· 2- [ -2 }·~- - [2]·22-[(; ] b₁ = b₂ = C1 C₂ = 3 1 Find the change-of-coordinates matrix from B to C. P C-B (Simplify your answer.)

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. -1 1 •- -| ¯ ; }· 2- [ -2 }·~- - [2]·22-[(; ] b₁ = b₂ = C1 C₂ = 3 1 Find the change-of-coordinates matrix from B to C. P C-B (Simplify your answer.)

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 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. 1 ·[¨|-·|-|-| b₂ = C1 b₁ = 3 1 C B (Simplify your answer.) 2 Find the change-of-coordinates matrix from B to C. P =
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. 1 ·[¨|-·|-|-| b₂ = C1 b₁ = 3 1 C B (Simplify your answer.) 2 Find the change-of-coordinates matrix from B to C. P =
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