\beamer@sectionintoc {1}{Introduction}{2}{0}{1} \beamer@sectionintoc {2}{Solving a system of linear equations using RREF}{4}{0}{2} \beamer@subsectionintoc {2}{1}{An example of a system of linear equations}{4}{0}{2} \beamer@sectionintoc {3}{Modifying the matrix}{19}{0}{3} \beamer@subsectionintoc {3}{1}{Modifying the matrix in our example}{25}{0}{3} \beamer@subsectionintoc {3}{2}{Solutions to the system of equations}{36}{0}{3} \beamer@sectionintoc {4}{Explaining why this works}{42}{0}{4} \beamer@subsectionintoc {4}{1}{Explaining why this works in our example}{44}{0}{4} \beamer@subsectionintoc {4}{2}{A few comments}{64}{0}{4} \beamer@sectionintoc {5}{Another example}{69}{0}{5}