document.write( "Question 1136420: Without expanding the determinant show that it is equal to 0.
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document.write( " The elements in following determinant
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document.write( "1/a a^2 bc
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document.write( "1/b b^2 ca
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document.write( "1/c c^2 ab \n" );
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Algebra.Com's Answer #754204 by ikleyn(52818)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Multiply the left column of the given matrix by the factor (a*b*c).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You will get exactly the right column of the given matrix.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now use this property of the determinant:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " determinant of a matrix is zero, if one its column is proportional to another.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Answered, solved and completed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |