Consider the ordered bases B= a. Find the transition matrix from C to B. TB [M]B = =62][3][3] =([3][4][ b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = c. Find M. M = and C= 231 1 ) for the vector space V of upper triangular 2 x 2 matrices.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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Consider the ordered bases B =
a. Find the transition matrix from C to B.
TE
[M]B =
c. Find M.
[2][16]
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c =
13]
M =
and C =
1
(3] [4] [83]
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. TE [M]B = c. Find M. [2][16] b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = 13] M = and C = 1 (3] [4] [83] for the vector space V of upper triangular 2 x 2 matrices.
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