matrix algebra shortcut methods

• July 5th 2010, 04:28 PM
aashishmath
matrix algebra shortcut methods
I want to know the tricks/shortcuts to find,
Rank,
eigen values,
inverse,
determinant,

of a matrix, ....... I know such type of tricks/shortcuts exists but what they are ?

Thanks
• July 5th 2010, 04:32 PM
Also sprach Zarathustra
No shortcuts, only theory!
• July 5th 2010, 08:36 PM
aashishmath
Oh not at all the shortcuts exsists - I have seen it.
• July 6th 2010, 07:16 AM
wonderboy1953
Quote:

Originally Posted by aashishmath
Oh not at all the shortcuts exsists - I have seen it.
$A^{-1} = \left[\begin{array}{ccc} a&b \\ c&d\end{array}\right]^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc} d&-b \\ -c&a\end{array}\right]$