We want to find an LU factorization the following 4 x 3 matrix -2 1 -4...

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We want to find an LU factorization the following 4 x 3 matrix -2 1 -4 4 -10 1 A = 3 6 15 0 06 a) (3 pts) What should the sizes of the matrices L and U be? b) (5 pts) Find the matrix U. c) (3 pts) One of the entries of L can be any number you want. What is the row/column address of the entry that "does not matter"? d) (5 pts) Find a matrix for L using 0 for the entry of L that can be anything. We want to find an LU factorization the following 4 x 3 matrix -2 1 -4 4 -10 1 A = 3 6 15 0 06 a) (3 pts) What should the sizes of the matrices L and U be? b) (5 pts) Find the matrix U. c) (3 pts) One of the entries of L can be any number you want. What is the row/column address of the entry that "does not matter"? d) (5 pts) Find a matrix for L using 0 for the entry of L that can be anything.