Consider the ordered bases B = ( Го [43] c = 6 3 6 7 1 3 C matrices. 0 [43] ) and 0 ) for the vector space V of upper triangular 2 × 2 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=3 3 [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
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Consider the ordered bases B = (
Го
[43]
c = 6 3 6 7 1 3
C
matrices.
0
[43]
) and
0
) for the vector space V of upper triangular 2 × 2
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=3
3
[M]B=
c. Find M.
M
=
Transcribed Image Text:Consider the ordered bases B = ( Го [43] c = 6 3 6 7 1 3 C matrices. 0 [43] ) and 0 ) for the vector space V of upper triangular 2 × 2 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=3 3 [M]B= c. Find M. M =
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