document.write( "Question 617378: Find the value of | -7 12|
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Algebra.Com's Answer #388299 by jim_thompson5910(35256)\"\" \"About 
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Solved by pluggable solver: Finding the Determinant of a 2x2 Matrix

If you have the general 2x2 matrix:

\"%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29\"

the determinant is: \"D=a%2Ad-c%2Ab\"

So this means that

\"abs%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29=a%2Ad-c%2Ab\"

Note: the vertical bars denote a determinant.


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So in this case the determinant of \"%28matrix%282%2C2%2C-7%2C12%2C4%2C-11%29%29\" is:

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\"abs%28matrix%282%2C2%2C-7%2C12%2C4%2C-11%29%29=%28-7%29%28-11%29-%284%29%2812%29=77-48=29\"


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Answer:

So \"abs%28matrix%282%2C2%2C-7%2C12%2C4%2C-11%29%29=29\" which means that the determinant of the matrix \"%28matrix%282%2C2%2C-7%2C12%2C4%2C-11%29%29\" is 29
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