True False. Every matrix is row equivalent to a unique matrix in REF.

True False. An inconsistent system can have a unique solution.

True False. If a matrix has an inverse, then it is row equivalent to the identity matrix.

True False. If two augmented matrices are row equivalent, then their two linear systems are equivalent.

True False. A square matrix in RREF must be the identity matrix.

True False. If a system has at least two solutions then it has infinitely many.

True False. If det(A)=0, then A is the zero matrix.

True False. If A and B are symmetric then AB = BA.

True False. A 3x5 matrix cannot have a pivot position in every row.

True False. A 7x5 matrix cannot have a pivot position in every row.

Written by S.Hudson