10. Consider the basis B' {u1,u2},B = {V1,V2} for R2, where u1 = , U2 = V1 = > V2 = (a) Find the transition matrix PBB. (b) Find the transistion matrix PB B. (c) Compute the Coordinte matrix [w]gwhere w = 7 (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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{U1,U2},B= {v1,V2} for R2,
2
V2 =
10. Consider the basis B' =
where uj =
V% =
1.
4
(a) Find the transition matrix PBB.
(b) Find the transistion matrix PB B-
4
(c) Compute the Coordinte matrix [w]B where w =
(d) Use your answer from part (c) and answer from either part (a) or (b) to find [w]B.
hp
logi
Pg Up
Transcribed Image Text:{U1,U2},B= {v1,V2} for R2, 2 V2 = 10. Consider the basis B' = where uj = V% = 1. 4 (a) Find the transition matrix PBB. (b) Find the transistion matrix PB B- 4 (c) Compute the Coordinte matrix [w]B where w = (d) Use your answer from part (c) and answer from either part (a) or (b) to find [w]B. hp logi Pg Up
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