Let B = {[ ] [ -2 7 and C == { } ] [ -1 }} are bases in R². Find the coordinate vector of 2 with respect to B. Find the change of coordinates matrix P. B+C Find the change of coordinates matrix P. C+B

Let B = {[ ] [ -2 7 and C == { } ] [ -1 }} are bases in R². Find the coordinate vector of 2 with respect to B. Find the change of coordinates matrix P. B+C Find the change of coordinates matrix P. C+B

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 69E: Find a basis for R2 that includes the vector (2,2).

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Question

Let B
=
{[ ] [
-2
7
and C
==
{ } ] [
-1
}}
are bases in R².
Find the coordinate vector of
2
with respect to B.
Find the change of coordinates matrix P.
B+C
Find the change of coordinates matrix P.
C+B

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