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:

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

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

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

Thanks very much

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

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

5. that cool

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

6. $\displaystyle \begin{vmatrix} i&j&k&3\\ x&y&z&3\\ t&u&o&3\\ 8&7&8&9 \end{vmatrix}$

cool vmatrix

7. Originally Posted by Amer
$\displaystyle \begin{vmatrix} i&j&k&3\\ x&y&z&3\\ t&u&o&3\\ 8&7&8&9 \end{vmatrix}$

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

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

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

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

8. Hello, Amer!

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

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

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

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

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

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

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

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

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

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