Final answer:
To find the inverse of a matrix, calculate the determinant, find the adjugate, and multiply by 1/det(A).
Step-by-step explanation:
To find the inverse of a matrix, we can use the formula: A-1 = 1/det(A) * adj(A). First, calculate the determinant of the given matrix. If the determinant is 0, then the inverse does not exist. Next, find the adjugate of the matrix, which is obtained by swapping the elements of the main diagonal and changing the signs of the elements in the other positions. Finally, multiply the adjugate by 1/det(A) to get the inverse.