Question

Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) [ 1−3​ 01]LU=[ ⇒⇒​ ]

Answer 1

The LU-factorization of the matrix [1 -3] [0 1] is L = [1 0] [0 1] and U = [1 -3] [0 1].

Step-by-step explanation:

To find the LU-factorization of the given matrix, we need to decompose it into a lower triangular matrix (L) and an upper triangular matrix (U) such that A = LU. Additionally, the L matrix must have a unit diagonal. The LU-factorization of the matrix [1 -3] [0 1] is L = [1 0] [0 1] and U = [1 -3] [0 1].