8. (EXTRA CREDID LU Decomposition without partial pivoting pseudocode: In the class textbook, a n. The pseduocode looks like: Deconpose (A, n) DOFOR i k +1, n factor a (i,k) /a (k,k) a (i,k)factor DOFOR j = k + 1, n a (i,j) a (i,j) - factor * a(k,j) END DO END DO END DO END Decompose (a) Study the pseudocode and then develope a MATLAB function that performs the decomposition. (b) If you understand the code, explain where the coefficients of the L and the U and stored. What is the purpose of this method of storing? (c) Upgrade your code such that it writes the L matrix separately and the U matrix separately. [Hint: You might find it beneficial to use the MATLAB built-in function zeros (n,n) 8. (EXTRA CREDID LU Decomposition without partial pivoting pseudocode: In the class textbook, a n. The pseduocode looks like: Deconpose (A, n) DOFOR i k +1, n factor a (i,k) /a (k,k) a (i,k)factor DOFOR j = k + 1, n a (i,j) a (i,j) - factor * a(k,j) END DO END DO END DO END Decompose (a) Study the pseudocode and then develope a MATLAB function that performs the decomposition. (b) If you understand the code, explain where the coefficients of the L and the U and stored. What is the purpose of this method of storing? (c) Upgrade your code such that it writes the L matrix separately and the U matrix separately. [Hint: You might find it beneficial to use the MATLAB built-in function zeros (n,n)