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- \textbf{Problem 2.48} Consider matrix M =
- $$\begin{pmatrix}
- 1 & a & b \\
- 0 & 1 & c \\
- 0 & 0 & 1
- \end{pmatrix}$$ \\
- where $a, b, c \in \mathbb{R}$ Because
- $$\begin{pmatrix}
- 1 & a & b \\
- 0 & 1 & c \\
- 0 & 0 & 1
- \end{pmatrix}
- \begin{pmatrix}
- 1 & a' & b' \\
- 0 & 1 & c' \\
- 0 & 0 & 1
- \end{pmatrix}
- =
- \begin{pmatrix}
- 1 & a + a' & b' + ac' + b \\
- 0 & 1 & c' + c \\
- 0 & 0 & 1
- \end{pmatrix}$$
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