Consider the ordered bases B = a. Find the transition matrix from C to B. TB = b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = -D 2 3 [M]B = c. Find M. [3] and c = ([3] [14]· [²] C -3 M = for the vector space V of upper triangular 2 x 2 matrices.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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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.
TB
[M]B =
c. Find M.
0
(17
M
-1
-3
0 0
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c
-1 -2
0 -1
and C
4
(161)
2
3
CONN
2
3
-1
-3
for the vector space V of upper triangular 2 × 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. 0 (17 M -1 -3 0 0 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c -1 -2 0 -1 and C 4 (161) 2 3 CONN 2 3 -1 -3 for the vector space V of upper triangular 2 × 2 matrices.
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