Consider the following. T(X1 X2 X3 X4) = (X1 X2, X3, X₁ + 2x₂ - X4 X4), v = (-1, -1, 0, 1) (a) Find the standard matrix A for the linear transformation T. 11 (b) Use A to find the image of the vector v. Use a software program or a graphing utility to verify your result. T(v) =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.CR: Review Exercises
Problem 29CR: Use the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices...
icon
Related questions
Question
Consider the following.
T(X1 X2 X3 X4) = (X1 X2, X3, X₁ + 2x2 - X4 X4), v = (-1,-1, 0, 1)
(a) Find the standard matrix A for the linear transformation T.
A =
1
==>
N
(b) Use A to find the image of the vector v. Use a software program or a graphing utility to verify your result.
T(v) =
Transcribed Image Text:Consider the following. T(X1 X2 X3 X4) = (X1 X2, X3, X₁ + 2x2 - X4 X4), v = (-1,-1, 0, 1) (a) Find the standard matrix A for the linear transformation T. A = 1 ==> N (b) Use A to find the image of the vector v. Use a software program or a graphing utility to verify your result. T(v) =
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College