Consider the ordered bases B = ace V of upper triangular 2 x 2 matrices. Find the transition matrix from C to B. -C33²2) and=6³1²3 =]B = Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = 1 Find M. and C = ( ) for the vector

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 =
space V of upper triangular 2 x 2 matrices.
a. Find the transition matrix from C to B.
TB =
[M]B =
3
-638383) ---
c. Find M.
M =
1
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c
-2
and C=
=
-3
C]
) 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. TB = [M]B = 3 -638383) --- c. Find M. M = 1 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c -2 and C= = -3 C] ) for the vector
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