Matrix A can be decomposed into triangular matrices L and U such that A = LU. Write your own Python function that accepts a matrix A of arbitrary size and returns the corresponding matrices Land U. To test this function, we will be using the test matrix: -5 6 1 2 4 A = 2 3 1 2 ovaj 5 7 0 mon -2 a) Solve for determinant of the matrix A using LU decomposition by hand. Provide your work. b) Write the pseudocode for the LU decomposition algorithm