how would i work out the identity of the matrixs
In the second instance you post the specific matrix you are having trouble with. Show what you have tried and say where you are stuck.
Do you mean the inverse of a matrix? There are a number of different methods for doing that, all very long and complicated. For example, if we let " " be the "minor" of matrix A, that is, the determinant we get if we remove the ith row and jth column from A, multiplied by , then the inverse of matrix A has i,j component divided by the determinant of matrix A.
Simpler, in my opinion is to write matrix A and the identity matrix side by side, then "row-reduce" A to the identity matrix while applying the same row operations to the matrix beside A. When you have reduce A to the identity matrix, the identity matrix will have been reduced to the inverse of A.