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Math Help - determinate

  1. #1
    MHF Contributor Amer's Avatar
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    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
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  2. #2
    Flow Master
    mr fantastic's Avatar
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    Quote Originally Posted by Amer View Post
    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}<br />
i & j & k \\<br />
\frac{d}{dx} & \frac{d}{dy} & \frac{d}{dz} \\<br />
x & y & z \end{array} \right]

    The code is:


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

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

    latex matrix

    I'm sure you'll find other ways.
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  3. #3
    MHF Contributor Amer's Avatar
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    test

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


    Thanks very much
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  4. #4
    Super Member Random Variable's Avatar
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    You forgot the little hats on the unit vectors.

    \left[ \begin{array}{ccc}<br />
\hat{i} & \hat{j} & \hat{k} \\<br />
\frac{d}{dx} & \frac{d}{dy} & \frac{d}{dz} \\<br />
x & y & z \end{array} \right]
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  5. #5
    MHF Contributor Amer's Avatar
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    that cool

    \left[ \begin{array}{ccc}<br />
\hat{i} & j & k \\<br />
\frac{d}{dx} & \frac{\hat{d}}{dy} & \frac{d}{dz} \\<br />
x & y &{\hat{ z}} \end{array} \right]<br />
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  6. #6
    MHF Contributor Amer's Avatar
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    \begin{vmatrix}<br /> <br />
i&j&k&3\\<br /> <br />
x&y&z&3\\<br /> <br />
t&u&o&3\\<br /> <br />
8&7&8&9<br /> <br />
\end{vmatrix}<br /> <br />

    cool vmatrix
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  7. #7
    Senior Member TheAbstractionist's Avatar
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    Quote Originally Posted by Amer View Post
    \begin{vmatrix}<br /> <br />
i&j&k&3\\<br /> <br />
x&y&z&3\\<br /> <br />
t&u&o&3\\<br /> <br />
8&7&8&9<br /> <br />
\end{vmatrix}<br /> <br />

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

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


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


    Code:
    \begin{matrix}…
    \begin{matrix}<br />
i&j&k&3\\<br />
x&y&z&3\\<br />
t&u&o&3\\<br />
8&7&8&9<br />
\end{matrix}<br />
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  8. #8
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    Hello, Amer!


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


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

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  9. #9
    Super Member

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

    [tex]\begin{pmatrix}
    \frac{1}{2} & \frac{1}{3}\\
    \frac{1}{4} & \frac{1}{5}
    \end{pmatrix}[/tex]

    . . \begin{pmatrix}<br />
\frac{1}{2} & \frac{1}{3}\\<br />
\frac{1}{4} & \frac{1}{5}<br />
\end{pmatrix}



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

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

    . . \begin{pmatrix}<br />
\frac{1}{2} & \frac{1}{3} \\ \\[-4mm]<br />
\frac{1}{4} & \frac{1}{5}<br />
\end{pmatrix}



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

    . . \begin{pmatrix}<br />
\frac{1}{2} & \frac{1}{3} \\ \\[-3mm]<br />
\frac{1}{4} & \frac{1}{5}<br />
\end{pmatrix}

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