Engineer Elly solves a nonhomogeneous system of ten linear equation in twelve unknowns. Elly discovers that...
1. Choose one problem, mark it, and solve it. (10 points) A scientist solves a nonhomogeneous system of ten linear equations in twelve unknowns and finds that three of the unknowns are free variables. Can the scientist be certain that, if the right sides of the equations are changed, the new nonhomogeneous system will have a solution? Justify your answer. (8 points) If a 6 x 4 matrix A has rank 2, find dim NulĄ and dim RowA.