Question 1 T(₁,2)=(-221-22, 21-22. determine if T is invertible. O The standard matrix of Tis A = ^= [] The standard matrix of Tis A= O [ 64-[ The standard matrix of Tis A = 2 -2 2 2 2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 47E
icon
Related questions
Question
Question 1
T(₁,₂)=(-2₁-22, 21-22,) is a linear transformation from R2 into R2. Find the standard matrix and
determine if T is invertible.
O
The standard matrix of Tis A =
The standard matrix of Tis A =
The standard matrix of Tis A=
The standard matrix of Tis A=
-2
2
2
2
22
2 -21
-2
22
and T is not invertible because the determinant of A is zero
and T is invertible because the columns of A span R².
and T is invertible because the columns of A does not span R².
and T is invertible because the columns of A span R².
and T is not invertible because the determinant of A is zero.
Transcribed Image Text:Question 1 T(₁,₂)=(-2₁-22, 21-22,) is a linear transformation from R2 into R2. Find the standard matrix and determine if T is invertible. O The standard matrix of Tis A = The standard matrix of Tis A = The standard matrix of Tis A= The standard matrix of Tis A= -2 2 2 2 22 2 -21 -2 22 and T is not invertible because the determinant of A is zero and T is invertible because the columns of A span R². and T is invertible because the columns of A does not span R². and T is invertible because the columns of A span R². and T is not invertible because the determinant of A is zero.
Expert Solution
steps

Step by step

Solved in 2 steps

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 and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage