of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. T² = Consider the ordered bases B = [M]B = 1 M = -2 2 c. Find M. 5/3 0 4/3 0 -13/ 7/3 3 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = [2] 2/3 -3 -3 -9 3 0 & 0 2113 2117 and = 316 31-139 [3 C= ) for the vector space V
of upper triangular 2 x 2 matrices. a. Find the transition matrix from C to B. T² = Consider the ordered bases B = [M]B = 1 M = -2 2 c. Find M. 5/3 0 4/3 0 -13/ 7/3 3 b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = [2] 2/3 -3 -3 -9 3 0 & 0 2113 2117 and = 316 31-139 [3 C= ) for the vector space V
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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Question
![of upper triangular 2 x 2 matrices.
a. Find the transition matrix from C to B.
TB
[M] B =
Consider the ordered bases B = (
1
M =
-2
2
c. Find M.
5/3
O
4/3
0
-13/
7/3
2/3
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c
-3
-9
CO
-3
6
3
1 -3
-2
4 -3
[2]·2² 217²] and C=13][3]
9
0
0
0 0
0
0
-2 -3
0
=
(
3
2
2
-3
0
for the vector space V](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F033c0d82-90fb-4c58-9b03-1325bfffdb8d%2F789ce912-e8e4-424f-8b46-c75fca1d1c76%2F7p8d6tp_processed.png&w=3840&q=75)
Transcribed Image Text:of upper triangular 2 x 2 matrices.
a. Find the transition matrix from C to B.
TB
[M] B =
Consider the ordered bases B = (
1
M =
-2
2
c. Find M.
5/3
O
4/3
0
-13/
7/3
2/3
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c
-3
-9
CO
-3
6
3
1 -3
-2
4 -3
[2]·2² 217²] and C=13][3]
9
0
0
0 0
0
0
-2 -3
0
=
(
3
2
2
-3
0
for the vector space V
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