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A polynomial p(x) = R²[x] has the coordinate x, 1+x+x²}. Which of the following is p(x)? (a) 3+ 2x + x² (b) 4 - 2x + x² is a vector such that (v) B (a) The transition matrix from an ordered basis B to an ordered basis B' is T = (3) (b) 2 3 relative to the ordered basis B = {1,1+ (3). (c) 3 - 2x + x² then (v) B equals (c) (d) 4+ 2x - x² (3) 5 (d) (13) 13 (23) If v

A polynomial p(x) = R²[x] has the coordinate x, 1+x+x²}. Which of the following is p(x)? (a) 3+ 2x + x² (b) 4 - 2x + x² is a vector such that (v) B (a) The transition matrix from an ordered basis B to an ordered basis B' is T = (3) (b) 2 3 relative to the ordered basis B = {1,1+ (3). (c) 3 - 2x + x² then (v) B equals (c) (d) 4+ 2x - x² (3) 5 (d) (13) 13 (23) If v

Linear Algebra: A Modern Introduction
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 27EQ
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2 8. A polynomial p(x) = R²[x] has the coordinate 3 relative to the ordered basis B = {1, 1+ -1 x,1+x+x²}. Which of the following is p(x)? (a) 3+2x+x² (b) 4 - 2x + x² is a vector such that (v) B' 9. The transition matrix from an ordered basis B to an ordered basis B' is T = (a) 3 (b) 3 (2) 9 (c) 3 - 2x + x² 3 then (v) equals (d) 4+ 2x − x² 13 (0) (5) (d) 13 5 1 1 3). ₁ If v
Transcribed Image Text:2 8. A polynomial p(x) = R²[x] has the coordinate 3 relative to the ordered basis B = {1, 1+ -1 x,1+x+x²}. Which of the following is p(x)? (a) 3+2x+x² (b) 4 - 2x + x² is a vector such that (v) B' 9. The transition matrix from an ordered basis B to an ordered basis B' is T = (a) 3 (b) 3 (2) 9 (c) 3 - 2x + x² 3 then (v) equals (d) 4+ 2x − x² 13 (0) (5) (d) 13 5 1 1 3). ₁ If v
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