Question: 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

Consider the 2 x 2 matrices


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


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


image


Use this expression and the properties of determinants to show that


image


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

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

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