Question

In the matrix of a system of linear equations, suppose that two of the rows are equal. What can you say about the rowreduced form of the matrix?

Forms of linear equations
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asked 2021-06-23
In the matrix of a system of linear equations, suppose that two of the rows are equal. What can you say about the rowreduced form of the matrix?

Answers (1)

2021-06-24
If we subtract the rows that are equal, the result will be a row all zeros.
In a row-reduced matrix ( see P3 property), these go to the bottom, so we can safely say that the last row has all zeros. (there may or may not be other all-zero rows)
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