# Math Help - determinate

1. ## determinate

how I can write the determinate like this in latex
i..................j...............k

d/dx...........d/dy..........d/dz

x...............y...............z

I know it is equal zero I want how I can write it ??

Thanks

2. Originally Posted by Amer
how I can write the determinate like this in latex
i..................j...............k

d/dx...........d/dy..........d/dz

x...............y...............z

I know it is equal zero I want how I can write it ??

Thanks
There are many ways. Here's one:

$\left[ \begin{array}{ccc}
i & j & k \\
\frac{d}{dx} & \frac{d}{dy} & \frac{d}{dz} \\
x & y & z \end{array} \right]$

The code is:

$$\left[ \begin{array}{ccc} i & j & k \\ \frac{d}{dx} & \frac{d}{dy} & \frac{d}{dz} \\ x & y & z \end{array} \right]$$

If you do a search of these forums using the key words

latex matrix

I'm sure you'll find other ways.

3. test

$\left[ \begin{array}{ccc}
i & j & k \\
\frac{d}{dx} & \frac{d}{dy} & \frac{d}{dz} \\
x & y & z \end{array} \right]$

Thanks very much

4. You forgot the little hats on the unit vectors.

$\left[ \begin{array}{ccc}
\hat{i} & \hat{j} & \hat{k} \\
\frac{d}{dx} & \frac{d}{dy} & \frac{d}{dz} \\
x & y & z \end{array} \right]$

5. that cool

$\left[ \begin{array}{ccc}
\hat{i} & j & k \\
\frac{d}{dx} & \frac{\hat{d}}{dy} & \frac{d}{dz} \\
x & y &{\hat{ z}} \end{array} \right]
$

6. $\begin{vmatrix}

i&j&k&3\\

x&y&z&3\\

t&u&o&3\\

8&7&8&9

\end{vmatrix}

$

cool vmatrix

7. Originally Posted by Amer
$\begin{vmatrix}

i&j&k&3\\

x&y&z&3\\

t&u&o&3\\

8&7&8&9

\end{vmatrix}

$

cool vmatrix
Besides vmatrix you can also use pmatrix, bmatrix, or just matrix.

Code:
\begin{pmatrix}…
$\begin{pmatrix}
i&j&k&3\\
x&y&z&3\\
t&u&o&3\\
8&7&8&9
\end{pmatrix}
$

Code:
\begin{bmatrix}…
$\begin{bmatrix}
i&j&k&3\\
x&y&z&3\\
t&u&o&3\\
8&7&8&9
\end{bmatrix}
$

Code:
\begin{matrix}…
$\begin{matrix}
i&j&k&3\\
x&y&z&3\\
t&u&o&3\\
8&7&8&9
\end{matrix}
$

8. Hello, Amer!

You may want those small arrows to indicate vectors . . .
. . Use \vec i

. . . . $\begin{bmatrix}
\vec i & \vec j & \vec k \\
\frac{d}{dx} & \frac{d}{dy} & \frac{d}{dz} \\
x & y & z \end{bmatrix}$

9. If there are fractions in the matrix,
. . they may be too close together vertically.

$$\begin{pmatrix} \frac{1}{2} & \frac{1}{3}\\ \frac{1}{4} & \frac{1}{5} \end{pmatrix}$$

. . $\begin{pmatrix}
\frac{1}{2} & \frac{1}{3}\\
\frac{1}{4} & \frac{1}{5}
\end{pmatrix}$

We can insert an extra vertical space with \\[-4mm]

$$\begin{pmatrix} \frac{1}{2} & \frac{1}{3} \\ \\[-4mm] \frac{1}{4} & \frac{1}{5} \end{pmatrix}$$

. . $\begin{pmatrix}
\frac{1}{2} & \frac{1}{3} \\ \\[-4mm]
\frac{1}{4} & \frac{1}{5}
\end{pmatrix}$

Using \\[-3mm] results in a larger space

. . $\begin{pmatrix}
\frac{1}{2} & \frac{1}{3} \\ \\[-3mm]
\frac{1}{4} & \frac{1}{5}
\end{pmatrix}$