10. Consider the basis B' {u1,u2},B = {V1,V2} for R2, %3D where u1 = U2 = V1 = V2 = (a) Find the transition matrix PBB. (b) Find the transistion matrix PB--B'. (c) Compute the Coordinte matrix [w]g where w = (d) Use your answer from part (c) and answer from either part (a) or (b) to find [w]B.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 55EQ
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Please solve this question by hand writting step by step in details especailly first two parts. Again I need it step by step becasue I am confuse.

 

10. Consider the basis B' = {u1,u2},B = {v1,V2} for R2,
where uj =
2
U2 =
V1 =
, V2 =
(a) Find the transition matrix PB B.
(b) Find the transistion matrix PBB.
(c) Compute the Coordinte matrix [w]Bwhere w =
(d) Use your answer from part (c) and answer from either part (a) or (b) to find [w]B.
hp
logi
09
Transcribed Image Text:10. Consider the basis B' = {u1,u2},B = {v1,V2} for R2, where uj = 2 U2 = V1 = , V2 = (a) Find the transition matrix PB B. (b) Find the transistion matrix PBB. (c) Compute the Coordinte matrix [w]Bwhere w = (d) Use your answer from part (c) and answer from either part (a) or (b) to find [w]B. hp logi 09
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