MATH 1553 Quiz: MATH 1553 GT Spring Quiz5

Let A = [2 -2 -2 0 -2 2 -1 5 2] Find an LU-decomposition of the matrix A, and use it to solve the system Ax = b where b = [-4 -2 6]

Find the LU factorization of A =[-2 2 -4 -4 3 -6 -5 4 -11]. That is, write A = LU where L is a lower triangular matrix with ones on the diagonal and U is an upper triangular matrix

Consider the matrix A = [2 1 -3 6 4 0 -4 2 1]. Calculate the LU-factorization of A. Use the LU-factorization you found in (a) to solve Ax = b for times in the following two cases: b = [0 10 -1], b = [1 12 -7] What is det(A)?