(Solution) - In Exercises 23 and 24 key statements from this section -(2025 Original AI-Free Solution)

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In Exercises 23 and 24, key statements from this section are either quoted directly, restated slightly (but still true), or altered in some way that makes them false in some cases. Mark each statement True or False, and justify your answer. (If true, give the approximate location where a similar statement appears, or refer to a definition or theorem. If false, give the location of a statement that has been quoted or used incorrectly, or cite an example that shows the statement is not true in all cases.) Similar true/false questions will appear in many sections of the text.
1. a. Every elementary row operation is reversible.
b. A 5 x 6 matrix has six rows.