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If A={:[(-2,5),(1,3)]:}andB={:[(6,0),(3,...

If `A={:[(-2,5),(1,3)]:}andB={:[(6,0),(3,-5)]:}`, evaluate AB and BA.

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`AB={:[(-2,5),(1,3)]:}{:[(6,0),(3,-5)]:}={:[(3,-25),(15,15)]:}`, while `BA={:[(6,0),(3,-5)]:}{:[(-2,5),(1,3)]:}={:[(-12,30),(-11,0)]:}`.
The determinant of an n by n square matrix is a number. The determinant of the 2 by 2 matrix `{:[(a,b),(c,d)]:}` is denoted by `|{:(a,c),(b,d):}|`, while equals ad-bc. Determinants of larger square matrices can be evaluted by keying 2nd/MATRIX/MATH/ det on the graphing calculator.
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