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]
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
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![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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56349570-c850-4378-b43a-2d1a85030776%2F80139170-0994-4151-b9b6-c21dd785212c%2Fg4jdl5d_processed.png&w=3840&q=75)
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]
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