2. Let A be an nxn matrix over R. Consider the LU-decomposition A = LU, where L is a unit lower triangular matrix and U is an upper triangular matrix. The LDU-decomposition is defined as A = LDU, where L is unit lower triangular, D is diagonal and U is unit upper triangular. Let 2 4 -2 A = 4 9 -3 -2 -3 7 Find the LDU-decomposition via the LU-decomposition.

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