document.write( "Question 1165295: Suppose A and B are n × n matrices. If A and B are invertible, then A B is
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Algebra.Com's Answer #789775 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The determinant of a product of square matrices is equal to the product of\r\n" );
document.write( "their determinants.  \r\n" );
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document.write( "The determinant of a square matrix is 0 if and only if the matrix is singular.\r\n" );
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document.write( "Therefore if one or both of A and B is (are) singular, its (their)\r\n" );
document.write( "determinant(s) is (are) 0, and the product of their determinants is 0, and AB\r\n" );
document.write( "is singular.\r\n" );
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document.write( "Edwin

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