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
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 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.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0ea2d4f-59e8-4e3c-a5a9-502be2ed3934%2F9e3f578e-e722-48ba-93cc-22e407c527d9%2Fc3swyuk_processed.jpeg&w=3840&q=75)
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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