\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Compute \(T_1 T_2\) for \(T_1 = \begin{pmatrix} 1 & 2 & 3 \\ 0 & 4 & 5 \\ 0 & 0 & 6 \end{pmatrix}\) and \(T_2 = \begin{pmatrix} 1 & 1 & 0 \\ 0 & 2 & 1 \\ 0 & 0 & 3 \end{pmatrix}\), and verify the result is upper triangular with diagonal coefficients \((1 \cdot 1, 4 \cdot 2, 6 \cdot 3) = (1, 8, 18)\).
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