1 1 −1 2 1 2 1 Let A = and T the corresponding linear trans- 1 0 2 1 1 −1 2 3 formation of R4, find the T-cyclic subspace W spanned by (1, −1, 0, –1). What is the characteristic polynomial of Tw? Is Tw diagonalisable?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 37E
icon
Related questions
Question
100%
1
1
-1
-1
2
1
2
1
2. Let A =
and T the corresponding linear trans-
1
0
2
1
1 -1 2 3
formation of R4, find the T-cyclic subspace W spanned by (1,-1,0, -1).
What is the characteristic polynomial of Tw? Is Tw diagonalisable?
Transcribed Image Text:1 1 -1 -1 2 1 2 1 2. Let A = and T the corresponding linear trans- 1 0 2 1 1 -1 2 3 formation of R4, find the T-cyclic subspace W spanned by (1,-1,0, -1). What is the characteristic polynomial of Tw? Is Tw diagonalisable?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning