Let L : R³ → R³ be a linear transformation and the standard matrix representing I is A - 1 -1 2 -2 -3 0 1 1 0 What is the correct definition of the linear transformation L(v) = = Av, where

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

33. Linear Transformation

Let L : R³ → R³ be a linear transformation and the standard matrix representing L
is
V =
L
What is the correct definition of the linear transformation L(v) = Av, where
X1
x2
x3
€ R³?
X1
X3
(E))
(ED)
(ED)
X1
X2
x3
A
x12x2 3x3
2x1 + x2
-x1 + x3
x13x22x3
-x1 + x3
2x1 + x2
x12x2 3x3
-x1 + x3
2x1 + x2
-1
2
x13x22x3
2x1 + x2
-X1 + X3
-2 -3
0
1
1
0
Transcribed Image Text:Let L : R³ → R³ be a linear transformation and the standard matrix representing L is V = L What is the correct definition of the linear transformation L(v) = Av, where X1 x2 x3 € R³? X1 X3 (E)) (ED) (ED) X1 X2 x3 A x12x2 3x3 2x1 + x2 -x1 + x3 x13x22x3 -x1 + x3 2x1 + x2 x12x2 3x3 -x1 + x3 2x1 + x2 -1 2 x13x22x3 2x1 + x2 -X1 + X3 -2 -3 0 1 1 0
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,