Steps to solve Inverse of a 3x3 matrix/

Sure, here are the steps to find the inverse of a 3x3 matrix:

1. Calculate the determinant of the matrix. If the determinant is zero, the matrix does not have an inverse.

2. Find the matrix of minors. This is done by taking each element in the matrix, ignoring the values in the current row and column, and finding the determinant of the set of values that are left.

3. Create the matrix of cofactors. This is done by applying a checkerboard of minuses to the "Matrix of Minors". Start with a plus in the top left corner, alternate plus and minus across the first row and column, then alternate the signs across the entire matrix.

4. Transpose the matrix of cofactors. This is done by swapping each element aij with aji.

5. Divide each term in the adjugate matrix (the result from step 4) by the determinant from step 1. The result is the inverse of the original matrix.

Remember, not all matrices have inverses. A matrix only has an inverse if the determinant is not equal to zero.