Chapter 4.6, Problem 75E

True or False? In Exercises 73 and 76, determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.

(a) If an $m\times n$ matrix $B$ can be obtained from elementary row operations on an $m\times n$ matrix $A$, then the column space of $B$ is equal to the column space of $A$.

(b) The system of linearity equations $Ax=b$ is inconsistent if and only if $b$ is in the column space of $A$.