(a) T (b) T H-E Z x+2y+3z 2y-3x+z X 3-0 y Z ] 7x+2y+z 3x - 11y+ 2z
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
can you please solve (a) & (b) ?
![Exercise 10.1.2 Consider the following functions T: R³ → R². For each function T, show that I 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.
(a) T
(b) T
(c) T
(d) T
X
y
X
B
Z
y =
X
y
Z
X
=
Z
x+2y+3z
2y-3x+z
7x+2y+z
3x - 11y+2z
2y-5x+z
[:]-[***]
y =
x+y+z
3x+2y+z
x+2y+6z](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98a85d3f-1221-4cd9-b5c2-c225eed9a46f%2F3b194878-fea0-45ec-827a-cf4d20ddfae9%2F5ilt9d_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 I 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.
(a) T
(b) T
(c) T
(d) T
X
y
X
B
Z
y =
X
y
Z
X
=
Z
x+2y+3z
2y-3x+z
7x+2y+z
3x - 11y+2z
2y-5x+z
[:]-[***]
y =
x+y+z
3x+2y+z
x+2y+6z
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