Question: 1. Consider the matrix 4 2 4 A = 5 -4 4 4 15 23 (a) Compute the LU decomposition of A (b) Using

1. Consider the matrix 4 2 4 A = 5 -4 4

1. Consider the matrix 4 2 4 A = 5 -4 4 4 15 23 (a) Compute the LU decomposition of A (b) Using your decomposition from part (a), solve the linear system Arb with b= (c) Compute the Cholesky decomposition A=LLT (d) List the matrices that perform the 'row operations' used to construct L.

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