Problem 5. (10 points) Given the matrix (a) does the inverse of the matrix exist? Your answer is (input Yes or No): Are the following statements are helpful? ? V Theorem 3.59 ? V Theorem 4.35 ? V Theorem 7.52 (b) If the matrix is invertible and you want to find the inverse, then will the following statements be helpful? ? V Theorem 3.59 ? V Theorem 4.35 ? V Theorem 7.52 Theorem -. Let A be a n x n matrix. If A can be reduced to I using elementary row operations then the Matrix Inversion algorithm produces A'l. If A cannot be row reduced to I then A'1 does not exist. Theorem 4.35. A square n x n matrix A is invertible if and only if det A # 0. If A is invertible then det(A ] ) = det A