Let A = 8 0 0 00 -00 8 0 0 - 100 PR 32 8 - 16 and v= + C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v). C1 d
Let A = 8 0 0 00 -00 8 0 0 - 100 PR 32 8 - 16 and v= + C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v). C1 d
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Help with the following question.
Find T(u) and T(v).
![00
32
4413-8
0
- 16
0
Let A =
T(u) =
O
van example
O
Get more help -
tv
and v= C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v).
C1
d
ACCICAN
A
W
Clear all](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcef3f1b2-56cd-4f45-949e-fc7a38ef994c%2F32d9a5cb-6e23-4687-a803-a8853b4adcf0%2Frc6gdwo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:00
32
4413-8
0
- 16
0
Let A =
T(u) =
O
van example
O
Get more help -
tv
and v= C Define T: R³ R³ by T(x) = Ax. Find T(u) and T(v).
C1
d
ACCICAN
A
W
Clear all
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
We are given that
T : R3 → R3 such that
T(x) = Ax
So, T(u) = Au
|– 1/8 0 0 –| |– 32 –|
= | 0 1/8 0 | | 8 |
|_ 0 0 1/8 _| |_ -16 _|
|– 4 –|
= | 1 |
|_ -2 _| [Ans]
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