Exercise1

Consider the matrices

\begin{equation*} A = \left[\begin{array}{rrr} 2 \amp 1 \amp 0 \\ -4 \amp -4 \amp 3 \\ 2 \amp 1 \amp -3 \\ \end{array}\right], \qquad B = \left[\begin{array}{rrrr} -2 \amp 3 \amp 0 \amp 0 \\ 0 \amp 4 \amp 2 \amp 0 \\ 4 \amp -6 \amp -1 \amp 2 \\ 0 \amp 4 \amp 2 \amp -3 \\ \end{array}\right] \text{.} \end{equation*}
  1. Find the determinants of \(A\) and \(B\) using row operations.

  2. Find the determinants of \(A\) and \(B\) using cofactor expansions.

in-context