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Let & = {Q.A} be the standard basis for R2. (a) Show that B - {0.3]} is another basis for R2. (b) Write down the change of basis matrix P from B to the standard basis E. E-B (c) Find the B-coordinate vector (vle of the vector v = [1] 2

Let & = {Q.A} be the standard basis for R2. (a) Show that B - {0.3]} is another basis for R2. (b) Write down the change of basis matrix P from B to the standard basis E. E-B (c) Find the B-coordinate vector (vle of the vector v = [1] 2

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 8EQ
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Let E = {Q.A} (a) Show that B {0.3]} is another basis for R2. (b) Write down the change of basis matrix P from B to the standard basis E. E-B (c) Find the B-coordinate vector [v]B of the vector v = 2 be the standard basis for R². =
Transcribed Image Text:Let E = {Q.A} (a) Show that B {0.3]} is another basis for R2. (b) Write down the change of basis matrix P from B to the standard basis E. E-B (c) Find the B-coordinate vector [v]B of the vector v = 2 be the standard basis for R². =
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