Consider the ordered bases B = zero trace. TB = [M]B = {2+4)* a. Find the transition matrix from C to B. Hint: use the standard basis F = c. Find M. -2 M = and C = {[ ][%]} {963} b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = [2] for the vector space V of lower triangular 2 x 2 matrices with
Consider the ordered bases B = zero trace. TB = [M]B = {2+4)* a. Find the transition matrix from C to B. Hint: use the standard basis F = c. Find M. -2 M = and C = {[ ][%]} {963} b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = [2] for the vector space V of lower triangular 2 x 2 matrices with
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q 3
![Consider the ordered bases B
zero trace.
a. Find the transition matrix from C to B. Hint: use the standard basis F =
TB
=
[M]B =
- {2-[]}-{[9][9])}
and C=
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c =
c. Find M.
M =
= {[_] [₂9]}
for the vector space V of lower triangular 2 x 2 matrices with](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7a714a4-ebd8-4877-b945-31460b45f9c3%2F1658e415-59c7-48a1-a8d0-d40184cfcecb%2F3j5tvgf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the ordered bases B
zero trace.
a. Find the transition matrix from C to B. Hint: use the standard basis F =
TB
=
[M]B =
- {2-[]}-{[9][9])}
and C=
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c =
c. Find M.
M =
= {[_] [₂9]}
for the vector space V of lower triangular 2 x 2 matrices with
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