(2) Consider the following matrices 101 1 02 1 1 1 0 0010 Note that only the entries of matrix C are in Z9. The other two matrices A and B are matrices with real numbers entries. (a) Find the inverse of all the given matrices, if they are invertible, using Gauss-Jordan method? Invertibility of A: A = 1+ 2- Invertibility of B: B = Invertibility of C: For B: For C: " (b) Write the inverse of the given matrices as the product of elementary matrices (Find a sequence of elementary matrices whose product in a correct order is equal to inverse matrix). For A: 1 3 1 C= 2 3 2 (Entries of C are from Zg). 1 85

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