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Macaulay2-1.3.1-8.fc15.i686.rpm

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<head><title>diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list</title>
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<div><h1>diagonalMatrix(Ring,ZZ,ZZ,List) -- make a diagonal matrix from a list</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>diagonalMatrix(R,L)</tt><br/><tt>diagonalMatrix L</tt><br/><tt>diagonalMatrix(m,n,L)</tt><br/><tt>diagonalMatrix(R,m,n,L)</tt></div>
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<li><span>Function: <a href="_diagonal__Matrix.html" title="make a diagonal matrix">diagonalMatrix</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="___Ring.html">ring</a></span>, the ring of the matrix, if specified</span></li>
<li><span><tt>m</tt>, <span>an <a href="___Z__Z.html">integer</a></span>, the number of rows, if specified</span></li>
<li><span><tt>n</tt>, <span>an <a href="___Z__Z.html">integer</a></span>, the number of columns, if specified</span></li>
<li><span><tt>L</tt>, <span>a <a href="___List.html">list</a></span>,  of elements in the ring <tt>R</tt> not longer than <tt>m</tt> or <tt>n</tt></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, a diagonal matrix whose diagonal entries are the elements of <tt>L</tt></span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = QQ[a..d];</pre>
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<tr><td><pre>i2 : diagonalMatrix{a,b,c,3/4}

o2 = | a 0 0 0   |
     | 0 b 0 0   |
     | 0 0 c 0   |
     | 0 0 0 3/4 |

             4       4
o2 : Matrix R  &lt;--- R</pre>
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<tr><td><pre>i3 : diagonalMatrix(3,5,{a,b,3/4})

o3 = | a 0 0   0 0 |
     | 0 b 0   0 0 |
     | 0 0 3/4 0 0 |

             3       5
o3 : Matrix R  &lt;--- R</pre>
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<tr><td><pre>i4 : diagonalMatrix(R,{1,2,3})

o4 = | 1 0 0 |
     | 0 2 0 |
     | 0 0 3 |

             3       3
o4 : Matrix R  &lt;--- R</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_matrices.html" title="">matrices</a></span></li>
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