Consider the ordered bases B = . Find the transition matrix from C to B. = Co ol·lo 2·10 -1) MB = c. Find M. M = . Find the coordinates of M in the ordered basis B if the coordinate vector of Min C is [M]c = | 3 [ = -21·1⁰ and C= ) for the vector space V of upper triangular 2 x 2 matrices.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Consider the ordered bases B =
a. Find the transition matrix from C to B.
TB =
[M]B =
c. Find M.
3
-3
[3][³][4] and C=([2]·2]· 3]),
-2
M =
1
b. Find the coordinates of M in the ordered basis B if the coordinate vector of Min C is [Mc =
3
3
NO CO CO
2
for the vector space V of upper triangular 2 x 2 matrices.
Transcribed Image Text:Consider the ordered bases B = a. Find the transition matrix from C to B. TB = [M]B = c. Find M. 3 -3 [3][³][4] and C=([2]·2]· 3]), -2 M = 1 b. Find the coordinates of M in the ordered basis B if the coordinate vector of Min C is [Mc = 3 3 NO CO CO 2 for the vector space V of upper triangular 2 x 2 matrices.
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