Let A be a m X n matrix with QR factorization of A = QR such that Q = [u₁ us], 0000 R = 0 4₂ U3 U4 5 2 2 3 00 0 0 1 2 8 0 0 0 3 20 0 1 (so each u, is a mx 1 column). PART A: Determine all possible value(s) for m, n, and rank(A). PART B: Suppose that A is a square matrix. Determine all possible value(s) for det(A).

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A: To find inverse of the matrix.