Can the last row of a Reduced Echelon Form matrix be not of all zeroes and still called as a Reduced Echelon Form?
If everything in the matrix are reduced properly and nicely, just that last row isn't of all zeroes, is it still considered as a legit Reduced Echelon Form matrix?
If everything in the matrix are reduced properly and nicely, just that last row isn't of all zeroes, is it still considered as a legit Reduced Echelon Form matrix?
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Yes, as long as all the rows of an REF-matrix have a leading 1, (or, at the bottom, are all zeroes), it is a valid REF matrix.
In fact, it's really a BETTER matrix if there are no all-zero rows.
When you end up with one or more zero rows in an REF matrix, it means the system of equations represented by the original matrix is underdetermined, meaning that one or more of the equations is linearly dependent on another. This often leads to a situation with multiple solutions.
In fact, it's really a BETTER matrix if there are no all-zero rows.
When you end up with one or more zero rows in an REF matrix, it means the system of equations represented by the original matrix is underdetermined, meaning that one or more of the equations is linearly dependent on another. This often leads to a situation with multiple solutions.
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yes always zero
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dude. the matrix are getting old. get a new hobby