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Showing posts with label LU decomposition. Show all posts
Showing posts with label LU decomposition. Show all posts

Thursday, 9 February 2006

LU Decomposition, Matrices. Find a matrix $A$ that admits NO $LU$ decomposition, even if we only require that $L$ is lower triangular (not necessarily unit) and $U$ is upper triangular. Justify your answer.

QUESTION: Find a matrix $A$ that admits NO $LU$ decomposition, even if we only require that $L$ is lower triangular (not necessarily unit) and $U$ is upper triangular. Justify your answer.