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Unformatted text preview: space below find the inverse of the
11 1
matrix A
and check your answer. Then, considering only those
01 1
21 0
calculations, answer the questions that follow:
11 1 1 1 00 11 1 1 00 01 1 1010 0 1 1 0 10 01 1 0 10 21 AI 1100
0 0 1 2 201 00 1 211 001 110 111 100 1 10 010 221 010 2 2 1 001 211 001 2 1 1 11 1 1 10 01 1 2 2 1 21 0 2 1 100 1 010
001 i) When we go from A via Gaussian elimination to the upper triangular matrix U, what
single matrix M, multiplying on the left, would turn A into U? Why? What is the relationship
of this M to L from the LU decomposition.
The right side of the augmented matrix keeps track of the cumulative multiplications:
1
M AI MA M 0 U M so M 00
10 . Now MA...
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This document was uploaded on 02/19/2014 for the course MATH 441 at WVU.
 Spring '08
 STAFF
 Math, Linear Algebra, Algebra

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