49. Let A and B be n x n matrices such that AB = I. Prove that |A| ‡ 0 and |B| ‡ 0.
49. Let A and B be n x n matrices such that AB = I. Prove that |A| ‡ 0 and |B| ‡ 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:49. Let A and B be n x n matrices such that AB = I. Prove that
|A| ‡ 0 and |B| ‡ 0.
Transcribed Image Text:50. Let A and B be n × n matrices such that AB is singular. Prove
that either A or B is singular.
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