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Jan 25th, 2015
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  1. \textbf{Problem 2.48} Consider matrix M =
  2.      $$\begin{pmatrix}
  3.        1 & a & b \\
  4.        0 & 1 & c \\
  5.        0 & 0 & 1
  6.      \end{pmatrix}$$ \\
  7.      where $a, b, c \in \mathbb{R}$ Because
  8.      $$\begin{pmatrix}
  9.        1 & a & b \\
  10.        0 & 1 & c \\
  11.        0 & 0 & 1
  12.      \end{pmatrix}
  13.      \begin{pmatrix}
  14.        1 & a' & b' \\
  15.        0 & 1 & c' \\
  16.        0 & 0 & 1
  17.      \end{pmatrix}
  18.      =
  19.      \begin{pmatrix}
  20.        1 & a + a' & b' + ac' + b \\
  21.        0 & 1 & c' + c \\
  22.        0 & 0 & 1
  23.      \end{pmatrix}$$
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