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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
Transcribed Image Text: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
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