Question: Just PA= LU (a) Find permutation matrices P and Q and a unit lower triangular matrix L and an upper triangular matrix U such that

Just PA= LU

(a) Find permutation matrices P and Q and a unit lower triangular matrix L and an upper triangular matrix U such that PA = LU and PAQ = LU for each of the following matrices. 100 99 98 () A = (ii) A = 98 55 11 0 1 0.00003 1.566 1.234 (iii) A = 1.5660 2.000 1.018 1.2340 1.018 -3.000 (v) A of the form (5.7) with n = 5

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