Question

LU decomposition is used when

(a) Ax (k) = Y (k)

(b) Ax (k) = bX (k)

(c) Ax (k) ≠ b (k)

(d) Ax (k) = b (k)

I had been asked this question in an interview for internship.

Question is from Relaxation Method in portion Rigorous Distillation Calculations of Distillation Design

Answer 1

The correct option is (d) Ax (k) = b (k)

Easy explanation: LU decomposition is used when Ax (k) = b (k) is to be solved for several different values of vector b.