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[M] Compute det ATA and detAAT for several random 4 × 5

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 45E Chapter 3.2

Linear Algebra and Its Applications | 5th Edition

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Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

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Problem 45E

[M] Compute det ATA and detAAT for several random 4 × 5 matrices and several random 5 × 6 matrices. What can you say about ATA and AAT when A has more columns than rows?

Step-by-Step Solution:
Step 1 of 3

Solution 45E

The equation () x = 0 has a non-trivial solution x.

Since  is a square matrix, from the Invertible Matrix,

Step 2 of 3

Chapter 3.2, Problem 45E is Solved
Step 3 of 3

Textbook: Linear Algebra and Its Applications
Edition: 5
Author: David C. Lay; Steven R. Lay; Judi J. McDonald
ISBN: 9780321982384

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[M] Compute det ATA and detAAT for several random 4 × 5

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