document.write( "Question 1055331: Find the value(s)of b for which Z = \r
\n" ); document.write( "\n" ); document.write( "6 −b −4
\n" ); document.write( "b 0 1
\n" ); document.write( "1 −2 1\r
\n" ); document.write( "\n" ); document.write( " is singular\r
\n" ); document.write( "\n" ); document.write( "i worked it but not sure of the answer,
\n" ); document.write( "please show me the steps to get the answer.
\n" ); document.write( "thank you \n" ); document.write( "
Algebra.Com's Answer #670554 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find the value(s)of b for which
\n" ); document.write( "Z =
\n" ); document.write( "6 −b −4
\n" ); document.write( "b 0 1
\n" ); document.write( "1 −2 1
\n" ); document.write( "is singular.
\n" ); document.write( "--------------------
\n" ); document.write( "Determine the determinant of the matrix.
\n" ); document.write( "(6*0*1 + b*-2*-4 + 1*1*b) - (-4*0*1 + 1*-2*6 + 1*b*-b)
\n" ); document.write( "---------
\n" ); document.write( "(0 + 8b + b) - (0 - 12 - b^2)
\n" ); document.write( "---------
\n" ); document.write( "Determinant = 9b + 12 + b^2
\n" ); document.write( "----
\n" ); document.write( "Matrix is singular iff determinant = 0
\n" ); document.write( "Solve::
\n" ); document.write( "b^2 + 9b + 12 = 0
\n" ); document.write( "b = [-9 +- sqrt(81-4*12)]/2
\n" ); document.write( "b = [-9 +- sqrt(33)]/2
\n" ); document.write( "------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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