Matrix, table, array
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Matrix, table, array
by Admin 17/6/2011, 21:06
table, array
http://turing.une.edu.au/~amth247/Lectures_2003/Lecture_04/lecture/
Matrice
Matrice cac phan tu thang hang
http://turing.une.edu.au/~amth247/Lectures_2003/Lecture_04/lecture/
Matrice
- Code:
$$ \mathbf{A} = \begin{bmatrix}
a_{11} & a_{12} & \ldots & a_{1n} \\
a_{21} & a_{22} & \ldots & a_{2n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m1} & a_{m2} & \ldots & a_{mn} \\
\end{bmatrix} $$
- Code:
$$ \mathbf{A} = \left[ \begin{array}{cccc}
a_{11} & a_{12} & \ldots & a_{1n} \\
a_{21} & a_{22} & \ldots & a_{2n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m1} & a_{m2} & \ldots & a_{mn}
\end{array} \right] $$
- Code:
$$ y = \left\{ \begin{array}{rcc}
-1 & \text{for} & x < 0 \\
0 & \text{for} & x = 0 \\
1 & \text{for} & x > 0
\end{array} \right. $$
- Code:
$$ \mathbf{A} = \begin{pmatrix} 1 & 2 & 3 \\ 4 & 5 & 6
\\ 7 & 8 & 9 \end{pmatrix} $$
- Code:
\[
M = \bordermatrix{~ & x & y \cr
A & 1 & 0 \cr
B & 0 & 1 \cr}
\]
- Code:
\[
\begin{bmatrix}[*2cr@{\quad}|@{\quad}>{\bf\color{red}}r]
a & b & 1 & 4 \\
c & d & -2 & -3
\end{bmatrix}
\]
- Code:
\begin{equation}\label{eq.2.2.3}
\left\{ \begin{array}{l}
Ay = 0\\
e^Ty = 1\\
y \geq 0
\end{array} \right .
\end{equation}
- Code:
\begin{displaymath}
\left (\begin{matrix}y_{04}\\y_{14}\\y_{24}\end{matrix}\right )=y^{(1)}_{\bullet4}\frac{x^{(1)}_4}{x^{(1)}_4+x^{(2)}_4}+y^{(2)}_{\bullet4}\frac{x^{(2)}_4}{x^{(1)}_4+x^{(2)}_4}=\left(\begin{matrix}0\\2\\0\end{matrix}\right).\frac{5}{7}+\left(\begin{matrix}0\\0\\1\end{matrix}\right).\frac{2}{7}=\left(\begin{matrix}0\\10/7\\2/7\end{matrix}\right).
\end{displaymath}
- Code:
\begin{equation}\label{eq.2.2.19}
\begin{pmatrix}
G^\ast\\
g^\ast\\
1
\end{pmatrix}
=
\begin{pmatrix}
A^1u^\ast\\
c^Tu^\ast\\
1
\end{pmatrix}
\end{equation}
Matrice cac phan tu thang hang
- Code:
\begin{equation}\label{PT1008}
P := \left\{ \begin{array}{llllll}
&\mbox{ }A^{21} x^1 &+A^{22} x^2 & & & = b^2\\
& &\mbox{ }A^{32} x^2 &+A^{33} x^3 & & = b^3\\
& & &\mbox{ }A^{43} x^3 &+A^{44} x^4 & = b^4\\
x^k \geq 0 & & & & & k = 1, \ldots, 4.
\end{array} \right .
\end{equation}
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