\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(\mathbf{A}=\begin{pmatrix} 7 & 2 \\ 3 & 1 \end{pmatrix}\) and \(\mathbf{B}=\begin{pmatrix} 1 & -2 \\ -3 & 7 \end{pmatrix}\).
  1. Calculate the product \(\mathbf{A}\mathbf{B}\).
  2. Calculate the product \(\mathbf{B}\mathbf{A}\).
  3. What can you conclude about the relationship between matrices \(\mathbf{A}\) and \(\mathbf{B}\)?

Capture an image of your work. AI teacher feedback takes approximately 10 seconds.