Given that A and B are n× n, invertible matrices, with n ≥ 2, and |A| |B| = b, find the following determinants in terms of a, b and n: (a) |A2|; (b) |BT |; (c) |AB-¹|; (d) |3BA|. = a and [2]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
icon
Related questions
Question
Given that A and B are n× n, invertible matrices, with n ≥ 2, and |A|
|B| = b, find the following determinants in terms of a, b and n:
(a) |A2|;
(b) |BT |;
(c) |AB-¹|;
(d) |3BA|.
= a and
[2]
Transcribed Image Text:Given that A and B are n× n, invertible matrices, with n ≥ 2, and |A| |B| = b, find the following determinants in terms of a, b and n: (a) |A2|; (b) |BT |; (c) |AB-¹|; (d) |3BA|. = a and [2]
Expert Solution
steps

Step by step

Solved in 1 steps with 1 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax