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Unformatted text preview: the general solution of the systems w hose augmented m atrix is: 1 2 1 3 0 2 4 5 5 3 3 6 6 8 3 3 . Show that if Ax b and Ay b , then for any scalar , A( ( y x)) 0. 4 . Suppose y ou are to solve m different linear systems of n e quations in n unknow ns. A ll of
the equations have the same matrix, how ever, they just differ in right hand sides. Estimate
how many a dditions are required. 5 . Use the G aussian Elimination w ith Partial Pivoting and Solution algorithm to solve
2 x1 2 x2 x3 4
x1 4 x2 6 x3 11
4 x1 8 x2 4 x3 4
Show w hat occupies storage in the A m atrix and the ip array initially and after each major step
of elimination. A ip 6 . Fill in the five blanks in t...
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- Spring '08