Let A be a 3 3 matrix, and assume that A can be transformed into a lower triangular
Chapter 7, Problem 11(choose chapter or problem)
Let A be a 3 3 matrix, and assume that A can be transformed into a lower triangular matrix L by using only column operations of type III; that is, AE1E2E3 = L where E1, E2, E3 are elementary matrices of type III. Let U = (E1E2E3) 1 Show that U is upper triangular with 1s on the diagonal and A = LU. (This exercise illustrates a column version of Gaussian elimination.)
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