-2 Consider the ordered bases B = 4 ) and C = for the vector space V of lower triangular 2 x 2 matrices with zero trace. 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 [M]c = [M]B = c. Find M. М —

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Question
-2
Consider the ordered bases B= (
and C = (
-5
) for the vector space V of lower triangular 2 x 2 matrices with zero trace.
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 = |
[MB =
c. Find M.
М —
Transcribed Image Text:-2 Consider the ordered bases B= ( and C = ( -5 ) for the vector space V of lower triangular 2 x 2 matrices with zero trace. 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 = | [MB = c. Find M. М —
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