Question: 3. Let A and T be two nonsingular, n x n real matrices. Furthermore, suppose we are given two matrices L and U such that

3. Let A and T be two nonsingular, n x n

3. Let A and T be two nonsingular, n x n real matrices. Furthermore, suppose we are given two matrices L and U such that L is unit lower triangular, U is upper triangular, and TA=LU. Write an algorithm that will solve the problem Ax=b for any given vector b in (n2 complexity. First explain briefly yet clearly why your algo- rithm requires only o(n') flops (you may assume without proof that solving an upper trian- gular or a lower triangular system requires only O(n2) flops). Then specify your algorithm in detail (including the details for lower and upper triangular systems) using pseudocode or a MATLAB script

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