REDUCING MATRICES

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REDUCING MATRICES
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A matrix that reduces to this
Can readily be interpreted
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If you follow this order, you will not waste
time or go around in circles.
8. A 0 in the upper right triangle can be
placed at any point after the 1 and the lower
0s have been placed in its column
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Consider this system. First extract the
coefficient matrix
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1 -1 0 -1
L1 becomes
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L2 becomes 0 -1 -1 -4
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L2 becomes 0 -1 -1 -4
L3 becomes 0 0 1 1
Replace L2 with L2 2 L1
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L2 becomes 0 1 0 3
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L1 becomes 1 0 0 2
L2 becomes 0 1 0 3
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