(a) Find the coordinate vector of a = with respect to the ordered basis 4 E = of R³: [r]E = (b) Let F be the ordered basis of R² given by F = and let F2 be the ordered basis given by {H} 3 F2 Find the transition matrix Pr-F, such that [x]F, = PE-F[x]F, for all æ in R²: P =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.4: The Lu Factorization
Problem 16EQ
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Chapter 3.4 Question 3

(a) Find the coordinate vector of a =
with respect to the ordered basis
4
E =
of R³:
[r]E =
(b) Let F be the ordered basis of R² given by
F =
and let F2 be the ordered basis given by
{H}
3
F2
Find the transition matrix Pr-F, such that [x]F, = PE-F[x]F, for all æ in R²:
P =
Transcribed Image Text:(a) Find the coordinate vector of a = with respect to the ordered basis 4 E = of R³: [r]E = (b) Let F be the ordered basis of R² given by F = and let F2 be the ordered basis given by {H} 3 F2 Find the transition matrix Pr-F, such that [x]F, = PE-F[x]F, for all æ in R²: P =
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