Consider the ordered bases B=( 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. 3 0 0 3] [8] [3²]and C= (3²154 M = [] 2 1 ) for the vector space V of upper triangular 2 x 2 matrices. -3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the ordered bases B =
a. Find the transition matrix from C to B.
TB =
[M] B =
c. Find M.
-2
(3² 3].[81][1] and
0 -3
M
and C=
(1616)
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c =
-
-2
0
for the vector space V of upper triangular 2 × 2 matrices.
Transcribed Image Text:Consider the ordered bases B = a. Find the transition matrix from C to B. TB = [M] B = c. Find M. -2 (3² 3].[81][1] and 0 -3 M and C= (1616) b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = - -2 0 for the vector space V of upper triangular 2 × 2 matrices.
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