Let A be a 3 3 matrix and assume that A can be transformed into a
Question:
AE1E2E3, = L
where E1, E2, E3 are elementary matrices of type III. Let
U = (E1E2E3)-1
Show that U is upper triangular with l's on the diagonal and A = LU. (This illustrates a column version of Gaussian elimination.)
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If AE 1 E 2 E 3 L then A LE 1 E 2 E 3 1 LU The e...View the full answer
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