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

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

Use this expression and the properties of determinants to show that

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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Question Posted: Jul 06, 2023 06:58 AM

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

Question:

a X A = b] [22] and [3] B =

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det AB det ac a b ID C d ...View the full answer

Differential Equations And Linear Algebra

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