\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(\mathbf{A}=\begin{pmatrix} 3 & 5 \\ 1 & 2 \end{pmatrix}\) and \(\mathbf{I}_2=\begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}\).
  1. Calculate the product \(\mathbf{A}\mathbf{I}_2\).
  2. Calculate the product \(\mathbf{I}_2\mathbf{A}\).
  3. Hence, conclude whether \(\mathbf{A}\mathbf{I}_2 = \mathbf{I}_2\mathbf{A}\).

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