document.write( "Question 1199095: Determinant matrix hard to type so photo linked below :)\r
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Algebra.Com's Answer #832792 by ikleyn(52908) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "(1)  First calculate determinant of the given matrix .\r\n" );
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document.write( "     Use the basic definition of the determinant in an expanded form.\r\n" );
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document.write( "     You will get   = .\r\n" );
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document.write( "(2)  It implies, due to well known properties of determinants, that\r\n" );
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document.write( "        det(A) =  = 3.\r\n" );
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document.write( "(3)  Finally, use another well known formula of linear algebra, which for 3x3 matrix A takes the form\r\n" );
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document.write( "        det(Adj(A)) = .\r\n" );
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document.write( "     We just know from  (2)  that det(A) = 3.  Therefore,\r\n" );
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document.write( "        det(Adj(A)) =  = 9.\r\n" );
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document.write( "ANSWER.  det(Adj(A)) = 9.\r\n" );
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