Matrix-Midterm 1 (T/F)

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

True

If the echelon form of an m x n matrix has a pivot in every column, then n >= m

False

A homogeneous system of linear equations is always consistent.

True

Row operations change a system of equations without changing the solutions

True

If a matrix is in reduced echelon form, then all entries are either zero or one

False

If a set of 25 linear equations in 30 unknowns is consistent then it has an infinite number of solutions.

False