Let P2(x) be the vector space of polynomials with real coefficients of degree at most 2 with the or- dered bases B2 = {x+ x + 1, x2 + x,x – 1} and B1 = {2x? + 3x + 1,2x² + 2x + 1, –3x – 6x – 2} . Then which of the following is the transition matrix [M from the basis B1 to the basis B2? -3 2 -1 (a) 3 -1 1 7 -4 2 2 1 -5 (b) 0 1 2 10 -3 -3 3 7 (c) -1 -4 -1 1. 2 -2 1 5 (d) 0 1 2 1 0 3 - -3 3 7 (e) 3 2 0 2.
Let P2(x) be the vector space of polynomials with real coefficients of degree at most 2 with the or- dered bases B2 = {x+ x + 1, x2 + x,x – 1} and B1 = {2x? + 3x + 1,2x² + 2x + 1, –3x – 6x – 2} . Then which of the following is the transition matrix [M from the basis B1 to the basis B2? -3 2 -1 (a) 3 -1 1 7 -4 2 2 1 -5 (b) 0 1 2 10 -3 -3 3 7 (c) -1 -4 -1 1. 2 -2 1 5 (d) 0 1 2 1 0 3 - -3 3 7 (e) 3 2 0 2.
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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