9. The matrix A is such that 2011 0 0 1 0 1 0 E1,4(1) E1,3(-3) E4,2 (−1) E2,3 E1,3 (2) A = 0 002 1 0 0003 a) Find a LU-d
Posted: Wed May 04, 2022 10:15 am
9. The matrix A is such that 2011 0 0 1 0 1 0 E1,4(1) E1,3(-3) E4,2 (−1) E2,3 E1,3 (2) A = 0 002 1 0 0003 a) Find a LU-decomposition of A, i.e., find a permutation matrix P, an (invertible) lower-triangular matrix L and an upper-triangular matrix U such that PA = LU. b) Find the set of all vectors x (in the domain of A) such that 1 2 Ax = 3 4