1. If the matrices A3x3 and B3×3 are such that det (A) = -2 and det (B): = -8, then: a) det (-3A) = b) det(A³B-T) = c) det(A-¹BT) =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
icon
Related questions
Question
1. If the matrices A3x3 and B3x3 are such
that det (A)= = -2 and det (B) = -8,
then:
a) det (-3A) =
b) det(A³B-T) =
c) det(A-¹BT) =
2. Consider the matrix:
Then:
A =
2
-3
0 1
2
1 4 3
a) det (M23)
b) A21 =
=
Transcribed Image Text:1. If the matrices A3x3 and B3x3 are such that det (A)= = -2 and det (B) = -8, then: a) det (-3A) = b) det(A³B-T) = c) det(A-¹BT) = 2. Consider the matrix: Then: A = 2 -3 0 1 2 1 4 3 a) det (M23) b) A21 = =
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
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
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage