Why does the presenter avoid selecting a zero when a row has two zeros?
Conditions
- The matrix has undergone row and column reduction.
- The goal is to find an optimal assignment.
Reasoning, step by step
- Inspect the reduced matrix row by row.
- Count the number of zeros in each row.
- If a row has more than one zero, postpone selection.
- Wait until rows with only one available zero are identified.
- Select those forced zeros first to reduce ambiguity.
Example
Row A is (0,0,7,1), containing two zeros. The speaker says, 'So let us not select any of the zero,' indicating that immediate assignment should wait.
Common misconceptions
- Thinking that any zero can be chosen immediately without consequence.
- Believing that rows with multiple zeros cannot be part of the optimal solution.
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Related questions
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