Question: (3) (9 marks) Consider the following matrices 0 1 1 1 0 0 A = 2 2 B = Entries of C are from Z7).

(3) (9 marks) Consider the following matrices 0 1 1 1 0 0 A = 2 2 B = Entries of C are from Z7). 1 1 C = 3 0 2 Note that only the entries of matrix C are in Z, and A and B are matrices with entries from real numbers. (a) Find the inverse of the given matrices if they are invertible? (b) Write the inverse of matrices as the product of elementary matrices (Find a sequence of elementary matrices whose product in a correct order is equal to inverse matrix)

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