Consider the 2 x 2 matrices where x and y denote the row vectors of B. Then

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Consider the 2 x 2 matrices


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where x and y denote the row vectors of B. Then the product AB can be written in the form


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Use this expression and the properties of determinants to show that


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Thus the determinant of a product of 2 x 2 matrices is equal to the product of their determinants.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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