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<head><title>matrix(Ring,List) -- create a matrix from a doubly nested list of ring elements or matrices</title>
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<div><h1>matrix(Ring,List) -- create a matrix from a doubly nested list of ring elements or matrices</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>matrix(R, v)</tt></div>
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<li><span>Function: <a href="_matrix.html" title="make a matrix">matrix</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>R</tt>, <span>a <a href="___Ring.html">ring</a></span></span></li>
<li><span><tt>v</tt>, <span>a <a href="___List.html">list</a></span>, a list of vectors; or a doubly nested list of ring elements and/or matrices</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, A matrix over <tt>R</tt>, whose source and target are both free, formed by the elements of <tt>v</tt>.</span></li>
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<li><div class="single"><a href="_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_matrix_lp__List_rp.html">Degree => ...</a>, -- create a matrix from a doubly-nested list of ring elements or matrices</span></li>
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<div class="single"><h2>Description</h2>
<div>All of the vectors, ring elements, or matrices must be defined over the ring <tt>R</tt>, or a base ring of <tt>R</tt>.<p/>
If a doubly nested list of matrices is given, then ring elements can be used for 1 by 1 blocks, and 0 represents a zero block.<p/>
This is essentially the same as <a href="_matrix_lp__List_rp.html" title="create a matrix from a doubly-nested list of ring elements or matrices">matrix(List)</a> together with the specification of the ring.<p/>
<table class="examples"><tr><td><pre>i1 : R = QQ[a..d];</pre>
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<tr><td><pre>i2 : f = matrix{{a,b},{c,0}}
o2 = | a b |
| c 0 |
2 2
o2 : Matrix R <--- R</pre>
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<tr><td><pre>i3 : h = matrix{{f,f},{f,0}}
o3 = | a b a b |
| c 0 c 0 |
| a b 0 0 |
| c 0 0 0 |
4 4
o3 : Matrix R <--- R</pre>
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