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)
Let B be a \((4\times3)(4\times3)\) matrix in reduced echelon form.
a) If B has three nonzero rows, then determine the form of B.
b) Suppose that a system of 4 linear equations in 2 unknowns has augmented matrix A, where A is a \((4\times3)(4\times3)\) matrix row equivalent to B.
Demonstrate that the system of equations is inconsistent.