Let P2(x) be the vector space of polynomials with real coefficients of degree at most 2 with the or-dered bases B1 = {r²+x+1,x +1, x – 1} and B2 = {2x2 + 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 11 11(b)-} -2.0 1(c)11 1-10 1(d)1 1 -2(e)3 22 2 -1

To find the Transition matrix from B1 to B2 we express vectors of B1 in the linear combination of…

Let P2(x) be the vector space of polynomials with real coefficients of degree at most 2 with the or- dered bases B1 = {r² + x + 1,x² +1, x- 1} and B2 = {2x2 +3x+ 1,21² + 2x + 1, -x-2}. Then which of the following is the transition matrix [M from the basis Bị to the basis B2? 21 -1 (a) 0 1 1 1 1 (b) 1 - -4 3 - 2. 0 1 (c) 11 -1 0 1 (d) - 1 - 1 1 -2 (e) 3 20 2 2 -1 1.

Let P2(x) be the vector space of polynomials with real coefficients of degree at most 2 with the or- dered bases B1 = {r² + x + 1,x² +1, x- 1} and B2 = {2x2 +3x+ 1,21² + 2x + 1, -x-2}. Then which of the following is the transition matrix [M from the basis Bị to the basis B2? 21 -1 (a) 0 1 1 1 1 (b) 1 - -4 3 - 2. 0 1 (c) 11 -1 0 1 (d) - 1 - 1 1 -2 (e) 3 20 2 2 -1 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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