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ZeroTest

ZeroTest
is an option to various linear algebra functions that gives a function to use in testing whether symbolic expressions should be treated as zero.
The automatic ZeroTest used by LinearSolve does not detect that mat is nonsingular:
With a stronger zero test LinearSolve gives the correct answer:
The automatic ZeroTest used by LinearSolve does not detect that mat is nonsingular:
In[1]:=
Click for copyable input
Out[1]=
With a stronger zero test LinearSolve gives the correct answer:
In[2]:=
Click for copyable input
Out[2]=
In[3]:=
Click for copyable input
Out[3]=
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