MATH 310 Quiz: Math 310 Quiz 5
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The reductions were: (a) subtract ( 2) row 1 from row 2, (b) subtract ( 1) row 1 from row 3, (c) subtract 1/2 row 2 from row 3. The matrix u we just get from the echelon form we ended up with. The matrix l should be 3 3. It gets 1s on the diagonal and 0s above it, and the entries below the diagonal come from which row reductions we used. You can always double-check your lu decomposition: just multiply out lu , and you had better get the a you started with. 2. (a) compute the determinant of the following matrix. You can use any strategy or combination of strategies that you think is appropriate. There are a bunch of ways to do this. The easiest (and most popular on the quiz) is probably cofactor expansion down the rst column. I"ll do it by row reduction just so you can see how it goes.
