Question

A triangular matrix is called unit triangular if it is square and every main diagonal element...

A triangular matrix is called unit triangular if it
is square and every main diagonal element is a 1.

(a) If A can be carried by the gaussian algorithm to
row-echelon form using no row interchanges,
show that A = LU where L is unit lower
triangular and U is upper triangular.

(b) Show that the factorization in (a) is unique.

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