4. Consider the vector space P, and the bases S = {1,x,x²} S' = {3,x-1,x² - 2x}. Find the transition matrix PS-s' 1 3 3 A PS+S= 0 1 2 001 3 3 6 B Ps+s= 0 1 2 001 1 1 3 3 C PS-s= 0 -1 D Ps+s' = E PSS=0 مرادی 2/3 001 1340 2/3 2 2/3 0 -1 2 001 3 -1 0 1 -2 0 0 1

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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4. Consider the vector space P₂ and the bases S = {1,x,x²} S' = {3,x-1,x² - 2x}. Find
the transition matrix Ps→s'
A PSS=0
1
00 1
3 3 6
B PS+s=0
1 2
0 0 1
C PS+S=0 -1 2
001
1
1
3
D PS+s' =
0
-1 2
001
3
-1
0
E PSS 0 1 -2
0
0 1
1/300
1/3
2/32
2/32
Transcribed Image Text:4. Consider the vector space P₂ and the bases S = {1,x,x²} S' = {3,x-1,x² - 2x}. Find the transition matrix Ps→s' A PSS=0 1 00 1 3 3 6 B PS+s=0 1 2 0 0 1 C PS+S=0 -1 2 001 1 1 3 D PS+s' = 0 -1 2 001 3 -1 0 E PSS 0 1 -2 0 0 1 1/300 1/3 2/32 2/32
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