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1d
comment Mathematica computes wrong eigenvectors?
Okay, read the docs for Eigensystem[], and then try answering your own question.
1d
comment Mathematica computes wrong eigenvectors?
That would be because the eigenvectors are returned as rows. Transpose[] before checking.
1d
comment Mathematica computes wrong eigenvectors?
M is not symmetric, so the correct check exploiting the antisymmetry is U.M.ConjugateTranspose[U].
1d
comment Solve a trig equation system
Thanks for following through. :)
1d
comment Error accumulation in NDSolve?
Okay, I was hinting that you include a typical value of w in the question…
1d
comment Error accumulation in NDSolve?
What's w supposed to be?
1d
awarded  Nice Answer
1d
comment Simplifying expression with non-commutating entries
How about using replacement rules?
1d
revised Matrix with known entries but unknown size
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1d
comment Matrix with known entries but unknown size
Look up SparseArray[] and Band[].
1d
comment How can I get the vertex labels of an existing graph?
VertexLabels /. AbsoluteOptions[g, VertexLabels] might work.
1d
revised Calculating $\lim_{x\to 1} \, \int -\frac{i \text{Li}_2\left(x-x^2\right)}{\sqrt{3} \left(x-\frac{1}{2}-\frac{i \sqrt{3}}{2}\right)} \, dx$
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awarded  Necromancer
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awarded  Necromancer
1d
revised How to reduce the InterpolatingFunction building overhead?
added 2 characters in body
1d
revised How to reduce the InterpolatingFunction building overhead?
added 10 characters in body
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revised How to reduce the InterpolatingFunction building overhead?
deleted 10 characters in body
1d
comment How to use NDSolve to solve the system of differential equations?
Then, look up NDSolve[]'s docs, and study the examples.
1d
revised Transforming Sin into Abs[Sin] dynamically
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1d
comment Plotting a set of points given by a complex expression
@Mack: ParametricPlot[Through[{Re, Im}[1 + 2*r Cos[x] - I r*Sin[x]]], {r, 0, 1}, {x, 0, 2*Pi}].