# Math Help - matrix algebra shortcut methods

1. ## 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 ?

Please help me i am in a greate need of that...
Thanks

2. No shortcuts, only theory!

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