RAN y X 3x+2y+z x+2y+6z [2y-5x+z] ✓
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
can you help me solve boith part C and D of this question please?
![Exercise 10.1.2 Consider the following functions T: R³ → R². For each function T, show that T is a
linear transformation. Do this by showing that T is a matrix transformation, i.e., find a matrix A such that
T(v) = Av.
X
(a) Ty
(c)
(d) T
Z
X
D-
=
Z
[
x+2+3z
-3x+z
7x+2y+
3x - 11y+2z
3x+2y+z
x+2y+6z
8-1
=
Z
2y-5x+z
x+y+z
].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52fb4760-8b56-41d1-811f-26cd2f9d5b41%2F374b7db2-2ea8-4040-8ed0-6cfe3c6ad246%2Fyrlq2vg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 10.1.2 Consider the following functions T: R³ → R². For each function T, show that T is a
linear transformation. Do this by showing that T is a matrix transformation, i.e., find a matrix A such that
T(v) = Av.
X
(a) Ty
(c)
(d) T
Z
X
D-
=
Z
[
x+2+3z
-3x+z
7x+2y+
3x - 11y+2z
3x+2y+z
x+2y+6z
8-1
=
Z
2y-5x+z
x+y+z
].
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