Form the ratios with the negative entries in pivot

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Unformatted text preview: By how much can we increase the value of y1 ? − y1 − 4y2 + y3 ≥ −4 − y1 − 2y2 + y3 ≥ −2 2y1 + y2 − 4y3 ≥ −1 ratio 4/1 2/1 Increasing y1 means we pivot on row 1. −1 −4 1 −4 -1 2 −2 1 1 −4 −2 −1 4/1 1 0 0 0 0 1 0 0 0 −3 ← pivot row 0 −4 1 2 0 0 2/1 ratios By how much can we increase the value of y1 ? −y1 − 4y2 + y3 ≥ −4 −y1 − 2y2 + y3 ≥ −2 2y1 + y2 − 4y3 ≥ −1 ratio 4/1 2/1 -1 -4 1 -4 -1 -2 1 -2 2 1 -4 -1 1 0 0 0 0 1 0 0 0 0 1 0 -3 -4 2 0 -1 -4 1 -4 -1 -2 1 -2 2 1 -4 -1 1 0 0 0 0 1 0 0 0 0 1 0 -3 -4 2 0 ← pivot row -1 -4 1 -4 -1 -2 1 -2 2 1 -4 -1 1 0 0 0 0 1 0 0 0 0 1 0 -3 -4 2 0 ← pivot row Any row having a negative rhs is a candidate pivot row. -1 -4 1 -4 -1 -2 1 -2 2 1 -4 -1 1 0 0 0 0 1 0 0 0 0 1 0 -3 -4 2 0 ← pivot row Any row having a negative rhs is a candidate pivot row. Form the ratios with the negative entries in pivot row. -1 -4 1 -4 -1 -2 1 -2 2 1 -4 -1 1 0 0 0 0 1 0 0 0 0 1 0 -3 -4 2 0 ← pivot row Any row having a negative rhs is a candidate pivot row. Form the ratios with the negative entries in pivot row. The pivot column is given by the smallest ratio. pivot column ↓ -1 -4 1 -4 -1 -2 1 -2 2 1 -4 -1 1 0 0 0 0 1 0 0 0 0 1 0 -3 -4 2 0 ← pivot row Any row having a negative rhs is a candidate pivot row. Form the rat...
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This note was uploaded on 01/29/2014 for the course MATH 407 taught by Professor Staff during the Fall '08 term at University of Washington.

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