2 c = √ [3] C -3 = -1 a. Find the transition matrix from C to B. TB = Consider the ordered bases B = [M]B = ].[: for the vector space V of upper triangular 2 x 2 matrices. -1 -3 &H 2 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c and = 3 -3 w

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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0
2
c = √°
[3]
-3
=
a. Find the transition matrix from C to B.
TB =
Consider the ordered bases B
=
[M]B
=
4 2
71-63 8]-[
for the vector space V of upper triangular 2 x 2 matrices.
-1
&
2
3
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c
+
3
) and
= -3
Transcribed Image Text:0 2 c = √° [3] -3 = a. Find the transition matrix from C to B. TB = Consider the ordered bases B = [M]B = 4 2 71-63 8]-[ for the vector space V of upper triangular 2 x 2 matrices. -1 & 2 3 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c + 3 ) and = -3
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