(a) Suppose A = LU where L is lower triangular and U is upper triangular. Explain...

Transcribed Image Text:

(a) Suppose A = LU where L is lower triangular and U is upper triangular. Explain how you would solve the problem Ar = b using L, U, and the concepts of forward and backward substitution. (b) Compute the LU factorization of -1 3 -3 %3D -2 by hand using elimination matrices. 2. (a) Suppose A = LU where L is lower triangular and U is upper triangular. Explain how you would solve the problem Ar = b using L, U, and the concepts of forward and backward substitution. (b) Compute the LU factorization of -1 3 -3 %3D -2 by hand using elimination matrices. 2.