Compute lu decomposition and gaussian elimination

Reference no: EM13125190

Let

2 2 -4 10

A = 1 1 5 b = -2

1 3 6 -5

( A is 3 x 3 matrix and b is a vector)

1). Use Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| =< 1 for all i > j and LU = A', where A' can be obtained from A by interchanging rows.

2). Use LU decomposition to solve Ax = b

Reference no: EM13125190

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