Exercise 2

In this section, we found the \(LU\) factorization of the matrix

\begin{equation*} A = \left[\begin{array}{rrr} 1 \amp 2 \amp 1 \\ -2 \amp -3 \amp -2 \\ 3 \amp 7 \amp 4 \\ \end{array}\right] \end{equation*}

in one of the activities, without using partial pivoting. Apply a sequence of row operations, now using partial pivoting, to find an upper triangular matrix \(U\) that is row equivalent to \(A\text{.}\)