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<head><title>submatrix' -- exclude rows and/or columns of a matrix</title>
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<div><h1>submatrix' -- exclude rows and/or columns of a matrix</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>submatrix'(f, rows, cols)</tt><br/><tt>submatrix'(f,,cols)</tt><br/><tt>submatrix'(f,cols)</tt><br/><tt>submatrix'(f,rows,)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>f</tt>, a map between free modules</span></li>
<li><span><tt>rows</tt>, <span>a <a href="___Visible__List.html">visible list</a></span>, a list of integers denoting the choice of rows to exclude. If omitted, exclude no rows</span></li>
<li><span><tt>cols</tt>, <span>a <a href="___Visible__List.html">visible list</a></span>, a list of integers denoting the choice of columns to exclude. If omitted, exclude no columns</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="___Matrix.html">matrix</a></span>, the submatrix of <tt>f</tt> with <tt>rows</tt> and <tt>cols</tt> left out</span></li>
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<div class="single"><h2>Description</h2>
<div><p/>
Each list of integers may contain ranges and repetitions, as in <tt>{3, 5..7, 3:0}</tt>. Excluding a row or column more than once is allowed but has no extra effect.<p/>
<table class="examples"><tr><td><pre>i1 : R = ZZ/101[a .. o];</pre>
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<tr><td><pre>i2 : f = genericMatrix(R, a, 3, 5)
o2 = | a d g j m |
| b e h k n |
| c f i l o |
3 5
o2 : Matrix R <--- R</pre>
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<tr><td><pre>i3 : submatrix'(f, {1}, {2})
o3 = | a d j m |
| c f l o |
2 4
o3 : Matrix R <--- R</pre>
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<tr><td><pre>i4 : submatrix'(f, {1}, {2,3,3,2,2})
o4 = | a d m |
| c f o |
2 3
o4 : Matrix R <--- R</pre>
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<table class="examples"><tr><td><pre>i5 : submatrix'(f, {1,3}, )
o5 = | a d g j m |
| c f i l o |
2 5
o5 : Matrix R <--- R</pre>
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<tr><td><pre>i6 : submatrix'(f, , {1,3} )
o6 = | a g m |
| b h n |
| c i o |
3 3
o6 : Matrix R <--- R</pre>
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<tr><td><pre>i7 : submatrix'(f, {1,3} )
o7 = | a g m |
| b h n |
| c i o |
3 3
o7 : Matrix R <--- R</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_submatrix.html" title="">submatrix</a></span></li>
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<div class="waystouse"><h2>Ways to use <tt>submatrix'</tt> :</h2>
<ul><li>submatrix'(Matrix,Nothing,VisibleList)</li>
<li>submatrix'(Matrix,VisibleList)</li>
<li>submatrix'(Matrix,VisibleList,Nothing)</li>
<li>submatrix'(Matrix,VisibleList,VisibleList)</li>
</ul>
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