Let P, be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2: {-2 — х — 2?, 2+ 2х + z?, —5 — За — 2?}, {2 – x – x2, 2 – 2x – x2, 1 – 2x – x2}. B C a. Find the change of basis matrix from the basis B to the basis C. 1 1 [id -4 1 -8 4 9 b. Find the change of basis matrix from the basis C to the basis B. 4 (id = -5 -4 -4 -4 -3
Let P, be the vector space of polynomials of degree 2 or less. Consider the following two ordered bases of P2: {-2 — х — 2?, 2+ 2х + z?, —5 — За — 2?}, {2 – x – x2, 2 – 2x – x2, 1 – 2x – x2}. B C a. Find the change of basis matrix from the basis B to the basis C. 1 1 [id -4 1 -8 4 9 b. Find the change of basis matrix from the basis C to the basis B. 4 (id = -5 -4 -4 -4 -3
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 22EQ
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