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Let P(x) be the space of polynomials with real coefficients of degree at most 2. Let two ordered basis of the space P(x) be B, = {x +x+1, x+1, x-1} and B, = {2x + 3x+1, 2r+ 2.x+1, -x-2}. Which of the following is the transition %3D matrix [ M] from the basis B, to B, ?

Let P(x) be the space of polynomials with real coefficients of degree at most 2. Let two ordered basis of the space P(x) be B, = {x +x+1, x+1, x-1} and B, = {2x + 3x+1, 2r+ 2.x+1, -x-2}. Which of the following is the transition %3D matrix [ M] from the basis B, to B, ?

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
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Let P(x) be the space of polynomials with real coefficients of degree at most 2. Let two ordered basis of the space P(x) be B, ={x* +x+1, x+1, x-1} and B = {2x + 3x+1, 2r+ 2x+1, - x²- 2}. Which of the following is the transition matrix [ M] from the basis B, to B,? 3. a-) 1 b-) 1/3023 13 113- 1/3 23 1130 113
Transcribed Image Text:Let P(x) be the space of polynomials with real coefficients of degree at most 2. Let two ordered basis of the space P(x) be B, ={x* +x+1, x+1, x-1} and B = {2x + 3x+1, 2r+ 2x+1, - x²- 2}. Which of the following is the transition matrix [ M] from the basis B, to B,? 3. a-) 1 b-) 1/3023 13 113- 1/3 23 1130 113
a-) b-) 0. 2 1 -1 c-)0 1 1 1 1 2. d-) 1 1 -1 1. e-) 13 1 - wiN -13
Transcribed Image Text:a-) b-) 0. 2 1 -1 c-)0 1 1 1 1 2. d-) 1 1 -1 1. e-) 13 1 - wiN -13
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