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<head><title>flatten(Matrix) -- puts the columns of a matrix into a single row</title>
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<div><h1>flatten(Matrix) -- puts the columns of a matrix into a single row</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>g = flatten f</tt></div>
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<li><span>Function: <a href="_flatten.html" title="flatten a list by unnesting lists">flatten</a></span></li>
<li><div class="single">Inputs:<ul><li><span><tt>f</tt>, <span>a <a href="___Matrix.html">matrix</a></span>, a <tt>m</tt> by <tt>n</tt> matrix.</span></li>
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<li><div class="single">Outputs:<ul><li><span><tt>g</tt>, <span>a <a href="___Matrix.html">matrix</a></span>, a <tt>1</tt> by <tt>m*n</tt> matrix.</span></li>
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<div class="single"><h2>Description</h2>
<div><tt>flatten f</tt> produces a new matrix from <tt>f</tt> by placing the entries of the columns of <tt>f</tt> all in a single row, one after the other.<table class="examples"><tr><td><pre>i1 : R = ZZ/101[x,y,z];</pre>
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<tr><td><pre>i2 : f = matrix {{2, x},{y^2, 23},{z, z^3}}
o2 = | 2 x |
| y2 23 |
| z z3 |
3 2
o2 : Matrix R <--- R</pre>
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<tr><td><pre>i3 : flatten f
o3 = | 2 y2 z x 23 z3 |
1 6
o3 : Matrix R <--- R</pre>
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Note that this is the matrix given by unnesting the list that was used to enter the matrix.</div>
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