-2 0 C=[²3] [²²2] 0 matrices. a. Find the transition matrix from C to B. T² = Consider the ordered bases B = 3 1 [M]c = 2 2 [M]B = b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is c. Find M. M = -1 ¶ 1. [ 22] [123 þ 0 for the vector space V of upper triangular 2 x 2 -2 -3 and

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
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Consider the ordered bases B =
3 1
-2 0
C=[²3] [²²2]
0
matrices.
a. Find the transition matrix from C to B.
T² =
[M]c = 2
2
-1
-CH2-
[ 212] [13
-2
-3
þ
0
for the vector space V of upper triangular 2 x 2
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is
[M]B =
c. Find M.
M =
and
Transcribed Image Text:Consider the ordered bases B = 3 1 -2 0 C=[²3] [²²2] 0 matrices. a. Find the transition matrix from C to B. T² = [M]c = 2 2 -1 -CH2- [ 212] [13 -2 -3 þ 0 for the vector space V of upper triangular 2 x 2 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]B = c. Find M. M = and
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