If
is a square invertible matrix which has an LU factorization, then the factorization is unique.

Name: If is a square invertible matrix which has an LU factorization, then the factorization is unique.
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Question

If 
  is a square invertible matrix which has an LU factorization, then the factorization is unique.

Quizplus · Accepted Answer

Any invertible matrix with an LU factorization has a unique factorization, as long as we require that the diagonal entries of the L factor be 1. This is known as the Doolittle algorithm for LU factorization. Thus, the statement is true.

If Is a Square Invertible Matrix Which Has an Has