[3 0 Consider the ordered bases B = (2) and 4 C = -2 0 41] [4 04]) for the vector space V of lower triangular 2 × 2 matrices with zero trace. [1 0 Го от a. Find the transition matrix from C to B. Hint: use F = TB b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C 3 is [M]c = [ ³¹₁] · [M]B= c. Find M. M = 9.

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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[3 0
Consider the ordered bases B = (2) and
4
C =
-2
0
41] [4 04]) for the vector space V of lower triangular 2 × 2
matrices with zero trace.
[1
0 Го от
a. Find the transition matrix from C to B. Hint: use F =
TB
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C
3
is
[M]c = [ ³¹₁] ·
[M]B=
c. Find M.
M =
9.
Transcribed Image Text:[3 0 Consider the ordered bases B = (2) and 4 C = -2 0 41] [4 04]) for the vector space V of lower triangular 2 × 2 matrices with zero trace. [1 0 Го от a. Find the transition matrix from C to B. Hint: use F = TB b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C 3 is [M]c = [ ³¹₁] · [M]B= c. Find M. M = 9.
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