Is it true that det(A + B) = det A + det B? Experiment with four pairs
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Is it true that det(A + B) = det A + det B? Experiment with four pairs of random matrices as in Exercise 48, and make a conjecture.
Data from in Exercise 48
Is it true that det AB = (det A) (det B)? To find out, generate random 5 x 5 matrices A and B, and compute det AB - (det A det B). Repeat the calculations for three other pairs of n x n matrices, for various values of n. Report your results.
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ANSWER For the first part we will check if detAB detA detB using four pairs of randomly generated ma...View the full answer
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Related Book For 
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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