85 lines
1.4 KiB
TeX
85 lines
1.4 KiB
TeX
\documentclass{article}
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\usepackage[french]{babel}
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\usepackage[utf8]{inputenc}
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\usepackage[a4paper]{geometry}
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\usepackage{lipsum}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{amsthm}
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\newcommand{\cobinun}[2]{
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\left( \begin{array}{cc} #2 \\ #1 \end{array}\right)
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}
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\newcommand{\cobindeux}[2]{
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\begin{pmatrix} #2 \\ #1 \end{pmatrix}
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}
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% Fin du préambule.
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\title{Maths-rices}
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\begin{document}
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\maketitle
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\[
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A = \left(
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\begin{array}{ccc}
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1 & 2 & 3 \\
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4 & 5 & 6 \\
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7 & 8 & 9
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\end{array}
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\right)
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\quad
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B = \left|
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\begin{array}{cccc}
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1 & 1 & \dots & 1 \\
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0 & \ddots & & \vdots \\
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\vdots & \ddots & \ddots & 1 \\
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0 & \dots & 0 & 1
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\end{array}
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\right|
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\quad
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C = \left[
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\begin{array}{cc}
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a & b \\
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c & d
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\end{array}
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\right]
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\]
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\[
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A = \begin{pmatrix}
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1 & 2 & 3 \\
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4 & 5 & 6 \\
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7 & 8 & 9
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\end{pmatrix}
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\quad
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B = \begin{vmatrix}
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1 & 1 & \dots & 1 \\
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0 & \ddots & & \vdots \\
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\vdots & \ddots & \ddots & 1 \\
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0 & \dots & 0 & 1
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\end{vmatrix}
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\quad
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C = \begin{bmatrix}
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a & b \\
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c & d
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\end{bmatrix}
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\]
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Maintenons rappelons la formule de Pascal.
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\[
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\binom{k+1}{n+1} = \cobinun{k+1}{n} + \cobindeux{k}{n}
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\]
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Et en inline ?
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$
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\binom{k+1}{n+1} = \cobinun{k+1}{n} + \cobindeux{k}{n}
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$
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La commande \verb|\binom| s'adapte bien au caractère «inline», et devient donc plus petit. Les autres n'en ont rien à faire ...
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\end{document}
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