1. Find the inverse of the following matrix:

[ 1 0 1 ]
[ 2 -2 -1 ]
[ 3 0 0 ]

here is the method I use

http://www.wikihow.com/Inverse-a-3X3-Matrix

You will have to know the meaning of "transpose" and how to find the determinant of a matrix

there are other methods, one is to append the identity matrix to the right of the given 3by3 matrix.
The, using rules of matrix manipultion, transform the original matrix to look like the identity matrix.
The appended matrix will be the inverse