Added matrix examples

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Levi Pearson 2014-01-25 18:57:08 -07:00 committed by Gitit Wiki User
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commit 0441237b20
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@ -41,4 +41,40 @@ This follows from **Bayes' Theorem** which says
$$
P(A|B) = \frac{P(B | A)\, P(A)}{P(B)}
$$
# Matrix Stuff
This is a column vector:
$$\vec v = \left(\begin{matrix}
1\\
3\\
7
\end{matrix}\right)$$
The *vector sum* of $\vec u$ and $\vec v$ is:
$$\vec u + \vec v =
\left(\begin{matrix}
u_1\\
\vdots\\
u_n
\end{matrix}\right) + \left(\begin{matrix}
v_1\\
\vdots\\
v_n
\end{matrix}\right) = \left(\begin{matrix}
u_1 + v_1\\
\vdots\\
u_n + v_n
\end{matrix}\right)
$$
The *scalar multiplication* of the real number $r$ and the vector $\vec v$ is:
$$
r \cdot \vec v = r \cdot \left(\begin{matrix}
v_1\\ \vdots \\ v_n
\end{matrix}\right) = \left(\begin{matrix}
rv_1 \\ \vdots \\ rv_n
\end{matrix}\right)
$$