MATH307 December 2005
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Question 01 (a)
Compute the LU decomposition of the matrix
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U can be found using row reduction rules on A until an upper triangular matrix is found. L is found by multiplying the inverses of the elementary matrices used to get from A to U.
Subtract the first line twice from the second round to obtain
Next, add the second row to the thrid
Thus, we obtain
And to get L: Reversing the row operations we obtain
Then, by construction,
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MER CH flag, MER RQ flag, MER RS flag, MER RT flag, MER Tag Matrix decomposition