Consider the ordered bases B = space V of upper triangular 2 × 2 matrices. a. Find the transition matrix from C to B. TB = 2 1 -2] and C = for the vector 2 -2 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = 22 B [M]B= c. Find M. M =

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter8: Evolutionary Solver: An Alternative Optimization Procedure
Section8.3: Introduction To Evolutionary Solver
Problem 2P
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Consider the ordered bases B =
space V of upper triangular 2 × 2 matrices.
a. Find the transition matrix from C to B.
TB =
2
1
-2]
and C =
for the vector
2
-2
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c =
22
B
[M]B=
c. Find M.
M =
Transcribed Image Text:Consider the ordered bases B = space V of upper triangular 2 × 2 matrices. a. Find the transition matrix from C to B. TB = 2 1 -2] and C = for the vector 2 -2 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = 22 B [M]B= c. Find M. M =
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