<A NAME=slash>
<TITLE>slash</TITLE></A>
<b><a href=r37_idx.html>INDEX</a></b><p><p>
<B>/</B> _ _ _ <B>SLASH</B> _ _ _ _ _ _ _ _ _ _ _ _ <B>operator</B><P>
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The <em>/</em> operator is a prefix or infix binary division operator or
prefix unary
<A HREF=r37_0101.html>recip</A>rocal operator.
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syntax: </H3>
<expression><em>/</em><expression> or
<em>/</em><expression>
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or <em>/</em>(<expression>,<expression>)
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<expression> may be any valid REDUCE expression.
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examples: </H3>
<P><PRE><TT>
20/5;
4
100/6;
50
--
3
16/2/x;
8
-
X
/b;
1
-
B
/(y,5);
Y
-
5
on rounded;
35/4;
8.75
/20;
0.05
</TT></PRE><P>The division operator is left associative, so that <em>a/b/c</em>
is equivalent
to <em>(a/b)/c</em>. The division operator is also valid with square
<A HREF=r37_0345.html>matrix</A> expressions of the same dimensions: With A and
B both n x n matrices and B
invertible, A/B is
given by A*B^-1.
Division of a matrix by a scalar is defined, with the results being the
division of each element of the matrix by the scalar. Division of a
scalar by a matrix is defined if the matrix is invertible, and has the
effect of multiplying the scalar by the inverse of the matrix. When
<em>/</em> is used as a reciprocal operator for a matrix, the inverse of
the matrix is returned if it exists.
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