True False. Every homogeneous linear system is consistent.

True False. Every system in reduced row echelon form is also in triangular form.

True False. Every consistent underdetermined system has infinitely many solutions.

True False. Every system in triangular form has a unique solution.

True False. Every system in triangular form has a nontrivial solution.

True False. Gaussian elimination applied to a system always leads to an equivalent system.

True False. Every system in triangular form is also in row echelon form.

True False. An overdetermined system cannot be consistent.

True False. No homogeneous system in triangular form has a nontrivial solution.

True False. Any two inconsistent systems (with the same variables) are equivalent.

Written by S.Hudson