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Find a formula for det(rA) when A is an n x n matrix and r is a real number

Find a formula for det(rA) when A is an n x n matrix and r is a real number

Advanced Engineering Mathematics
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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 Find a formula for det(rA) when A is an n x n matrix and r is a real number. Carefully justify your answer. Your formula will involve r, n and det A. 

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