GATE MA 2018 MA Q32: Numerical Analysis

Consider the following two statements:

P: The matrix

has infinitely many LU factorizations, where

is lower triangular with each diagonal entry 1 and

is upper triangular.

Q: The matrix

has no LU factorization, where

is lower triangular with each diagonal entry 1 and

is upper triangular.

Then which one of the following options is correct?

Your answerChoose one option.

P is TRUE and Q is FALSE

Both P and Q are TRUE

P is FALSE and Q is TRUE

Both P and Q are FALSE

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