Let P2(x) be the vector space of polynomials with real coefficients of degree at most 2 with the or-dered bases B1 = {r? +x +1,x? +1, x – 1} and B2 = {2x + 3x +1,2x2 + 2x+1, -x – 2}. Thenwhich of the following is the transition matrix [M from the basis B1 to the basis B2?2 1 -1(a)0 1 01 11(b)1 020 1(c)1 1 1-1 0 1(d)-3 1 -1 1 -2(e)3 2 02 2 -11/3

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Let P2(x) be the vector space of polynomials with real coefficients of degree at most 2 with the or- dered bases B1 = {x² +x+1,x2 +1, x- 1} and B2 = {2x² +3x+ 1,2x² + 2x + 1, –x² – 2}. Then which of the following is the transition matrix [M from the basis B1 to the basis B2? 21 -1 (a) 0 1 0 1 1 1 (b) 1 0 - - 3 2 0 1 (c) 1 11 -1 0 1 (d) -3 1 - 1 1 -2 (e) 3 2 0 2 2 -1

Let P2(x) be the vector space of polynomials with real coefficients of degree at most 2 with the or- dered bases B1 = {x² +x+1,x2 +1, x- 1} and B2 = {2x² +3x+ 1,2x² + 2x + 1, –x² – 2}. Then which of the following is the transition matrix [M from the basis B1 to the basis B2? 21 -1 (a) 0 1 0 1 1 1 (b) 1 0 - - 3 2 0 1 (c) 1 11 -1 0 1 (d) -3 1 - 1 1 -2 (e) 3 2 0 2 2 -1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.4: Orthogonal Diagonalization Of Symmetric Matrices

Problem 13EQ

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