Inverse of a matrix

**craig** · January 28th 2009, 08:48 AM

Hi just a quick question on matrices, when finding the inverse of the matrix:

$\left(\begin{array}{cc}a&b\\c&d\end{array}\right) $

Would the answer be:

$\frac{1}{ad-bc} \left(\begin{array}{cc}-a&c\\b&-d\end{array}\right) $ or $\frac{1}{|ad-bc|} \left(\begin{array}{cc}-a&c\\b&-d\end{array}\right) $

Completely forgot if you used the modulus of the determinant or not?

Thanks in advance

Craig

**masters** · January 28th 2009, 08:57 AM

Originally Posted by craig

Hi just a quick question on matrices, when finding the inverse of the matrix:

$\left(\begin{array}{cc}a&b\\c&d\end{array}\right) $

Would the answer be:

$\frac{1}{ad-bc} \left(\begin{array}{cc}-a&c\\b&-d\end{array}\right) $ or $\frac{1}{|ad-bc|} \left(\begin{array}{cc}-a&c\\b&-d\end{array}\right) $

Completely forgot if you used the modulus of the determinant or not?

Thanks in advance

Craig

Hi Craig,

the matrix inverse is

**clic-clac** · January 28th 2009, 08:59 AM

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**craig** · January 28th 2009, 09:05 AM

Originally Posted by masters

Hi Craig,

the matrix inverse is

Thank you

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