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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 14E
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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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