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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
2
-3
-3
-2
4
Consider the ordered bases B
and C =
-3
for the vector space V of upper triangular 2 x 2 matrices.
a. Find the transition matrix from C to B.
T =
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [Mc =
-3
[M]B =
c. Find M.
M =
Transcribed Image Text:2 -3 -3 -2 4 Consider the ordered bases B and C = -3 for the vector space V of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. T = b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [Mc = -3 [M]B = c. Find M. M =
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