Matrix-Midterm 1 (T/F)
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6 Terms
1
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If the echelon form of a matrix A has a pivot in every row, then the
equation AX= b is consistent for every choice of
equation AX= b is consistent for every choice of
True
2
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If the echelon form of an m x n matrix has a pivot in every column, then
n >= m
n >= m
False
3
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A homogeneous system of linear equations is always consistent.
True
4
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Row operations change a system of equations without changing the solutions
True
5
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If a matrix is in reduced echelon form, then all entries are either zero or one
False
6
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If a set of 25 linear equations in 30 unknowns is consistent then it has an infinite number of solutions.
False