Mark each statement as TRUE or FALSE. For every square matrix A we have det(24)=2 det(A). O True False There is a 3 x 3 matrix A with rank(A)=3 and det(A)=0. O True False There is a square matrix A with real entries such that det(A2)= -3. O True O False If A is a 2x2 matrix with the characteristic polynomial 22-92, then A is singu O True False

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
icon
Related questions
Question
Mark each statement as TRUE or FALSE.
For every square matrix A we have det(2A)=2 det(A).
O True
False
There is a 3 x 3 matrix A with rank(A)=3 and det(A)=0.
O True
False
There is a square matrix A with real entries such that det(A2)= -3.
O True
False
If A is a 2x2 matrix with the characteristic polynomial 22-91, then A is singular.
O True
O False
Transcribed Image Text:Mark each statement as TRUE or FALSE. For every square matrix A we have det(2A)=2 det(A). O True False There is a 3 x 3 matrix A with rank(A)=3 and det(A)=0. O True False There is a square matrix A with real entries such that det(A2)= -3. O True False If A is a 2x2 matrix with the characteristic polynomial 22-91, then A is singular. O True O False
Expert Solution
steps

Step by step

Solved in 4 steps with 4 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
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