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<head><title>columnAdd -- add a multiple of one column to another</title>
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<div><h1>columnAdd -- add a multiple of one column to another</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>columnAdd(m,i,a,j)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>m</tt>, <span>a <a href="___Mutable__Matrix.html">mutable matrix</a></span></span></li>
<li><span><tt>i</tt>, <span>an <a href="___Z__Z.html">integer</a></span></span></li>
<li><span><tt>a</tt>, <span>a <a href="___Ring__Element.html">ring element</a></span>, in the same ring as <tt>m</tt></span></li>
<li><span><tt>j</tt>, <span>an <a href="___Z__Z.html">integer</a></span></span></li>
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<li><div class="single">Consequences:<ul><li>The <tt>i</tt> th column of <tt>m</tt> is modified by adding <tt>a</tt> times the <tt>j</tt> th column of <tt>m</tt></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = ZZ[a..f];</pre>
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<tr><td><pre>i2 : m = mutableMatrix genericMatrix(R,a,2,3)
o2 = | a c e |
| b d f |
o2 : MutableMatrix</pre>
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<tr><td><pre>i3 : columnAdd(m,0,c,1)
o3 = | c2+a c e |
| cd+b d f |
o3 : MutableMatrix</pre>
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<tr><td><pre>i4 : m
o4 = | c2+a c e |
| cd+b d f |
o4 : MutableMatrix</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_mutable_spmatrices.html" title="">mutable matrices</a></span></li>
<li><span><a href="_row_spand_spcolumn_spoperations.html" title="">row and column operations</a></span></li>
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<div class="waystouse"><h2>Ways to use <tt>columnAdd</tt> :</h2>
<ul><li>columnAdd(MutableMatrix,ZZ,Number,ZZ)</li>
<li>columnAdd(MutableMatrix,ZZ,RingElement,ZZ)</li>
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