RAN y X 3x+2y+z x+2y+6z [2y-5x+z] ✓

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 54EQ
icon
Related questions
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
].
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 ].
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 9 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage