T² = space V of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. [M]B = Consider the ordered bases B = ( & c. Find M. M = 2 an b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = - ) and C= [83][²3][32] 2 2 ) for the vector

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
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Consider the ordered bases B = (
space V of upper triangular 2 x 2 matrices.
a. Find the transition matrix from C to B.
T² =
[M] B =
2
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c =
-G
2
c. Find M.
) and C=
M =
[83][2²3][32]
) for the vector
Transcribed Image Text:Consider the ordered bases B = ( space V of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. T² = [M] B = 2 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = -G 2 c. Find M. ) and C= M = [83][2²3][32] ) for the vector
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