document.write( "Question 172192: find the determinant of the matrix $\"%28matrix%282%2C2%2C5%2C+2%2C%0D%0A++++++++++++++++++++++++++++++++++++-3%2C+1%29%29\"$ \r
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Algebra.Com's Answer #127213 by jim_thompson5910(35256) $\"\"$ $\"About$

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The determinant of the general 2x2 matrix $\"%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29\"$ is $\"D=a%2Ad-b%2Ac\"$ \r
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\n" ); document.write( "\n" ); document.write( "So in this case, the matrix $\"%28matrix%282%2C2%2C5%2C2%2C-3%2C1%29%29\"$ gives us the values $\"a=5\"$ , $\"b=2\"$ , $\"c=-3\"$ , and $\"d=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"D=a%2Ad-b%2Ac\"$ Start with the determinant of any 2x2 matrix\r
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\n" ); document.write( "\n" ); document.write( " $\"D=5%2A1-2%2A%28-3%29\"$ Plug in $\"a=5\"$ , $\"b=2\"$ , $\"c=-3\"$ , and $\"d=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"D=5%2B6\"$ Multiply\r
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\n" ); document.write( "\n" ); document.write( " $\"D=11\"$ Add\r
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\n" ); document.write( "\n" ); document.write( "So the determinant of the matrix $\"%28matrix%282%2C2%2C5%2C2%2C-3%2C1%29%29\"$ is 11 \n" ); document.write( "

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