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<head><title>forceGB(..., ChangeMatrix => ...) -- inform Macaulay2 about the change of basis matrix from GB to generators</title>
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<div><h1>forceGB(..., ChangeMatrix => ...) -- inform Macaulay2 about the change of basis matrix from GB to generators</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>forceGB(...,ChangeMatrix=>m)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>m</tt>, <span>a <a href="___Matrix.html">matrix</a></span></span></li>
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<li><div class="single">Consequences:<ul><li>Set the change of basis matrix from the Gröbner basis to the original generators</li>
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<div class="single"><h2>Description</h2>
<div>The matrix <tt>m</tt> should have size a by b, where a is the number of columns of the original matrix, and b is the number of columns of f.<table class="examples"><tr><td><pre>i1 : gbTrace = 3
o1 = 3</pre>
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<tr><td><pre>i2 : R = ZZ[x,y,z];
-- registering polynomial ring 4 at 0x8414510</pre>
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<tr><td><pre>i3 : f = matrix{{x^2-3, y^3-1, z^4-2}};
1 3
o3 : Matrix R <--- R</pre>
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<tr><td><pre>i4 : g = forceGB(f, ChangeMatrix=>id_(source f));</pre>
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<tr><td><pre>i5 : x^2*y^3 // g
o5 = {2} | y3 |
{3} | 3 |
{4} | 0 |
3 1
o5 : Matrix R <--- R</pre>
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<h2>Further information</h2>
<ul><li><span>Default value: <a href="_null.html" title="the unique member of the empty class">null</a></span></li>
<li><span>Function: <span><a href="_force__G__B.html" title="declare that the columns of a matrix are a Gröbner basis">forceGB</a> -- declare that the columns of a matrix are a Gröbner basis</span></span></li>
<li><span>Option name: <span><a href="___Change__Matrix.html" title="name for an optional argument">ChangeMatrix</a> -- name for an optional argument</span></span></li>
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