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Jun
24
comment Connection between eigenvalues and eigenvectors of a matrix in different bases
Thank you - I looked at the source code and it seems as though the number and position of the dollar-signs don't match, but I am no latex-expert. Perhaps somebody with some expertise can have a look...
Jun
24
comment Connection between eigenvalues and eigenvectors of a matrix in different bases
@user6312: Thank you so far - could you elaborate on this and give sth proofy? ...and a simple example if possible?
Jun
24
revised Connection between eigenvalues and eigenvectors of a matrix in different bases
added 89 characters in body
Jun
24
asked Connection between eigenvalues and eigenvectors of a matrix in different bases
Jun
24
answered Is Fourier Series an “Inverse” of Taylor Series
Jun
21
accepted Why does a diagonalization of a matrix B with the basis of a commuting matrix A give a block diagonal matrix?
Jun
21
comment Book/tutorial recommendations: acquiring math-oriented reading proficiency in German
There is also a new sister-forum exclusively for German: german.stackexchange.com - it is not exclusively for math-oriented German but there are many well qualified persons that are eager to answer your questions (me included :-)
Jun
21
comment Why does a diagonalization of a matrix B with the basis of a commuting matrix A give a block diagonal matrix?
@Arturo: now I am back - yes, this is correct!
Jun
20
revised Why does a diagonalization of a matrix B with the basis of a commuting matrix A give a block diagonal matrix?
edited title
Jun
20
asked Why does a diagonalization of a matrix B with the basis of a commuting matrix A give a block diagonal matrix?
Jun
17
accepted Examples for proof of geometric vs. algebraic multiplicity
Jun
17
comment Examples for proof of geometric vs. algebraic multiplicity
Thank you so much - awesome!
Jun
16
comment Examples for proof of geometric vs. algebraic multiplicity
That would be super - thank you in advance!
Jun
16
comment Examples for proof of geometric vs. algebraic multiplicity
@Javier: Thank you very much for your extensive answer! I don't know if it is an impolite request to ask you too for an example like the one Mariano gave (but here of course with the reasoning of the proof?) Especially how they extend the set to a basis of V and the resulting matrix M is not clear to me and I think an example would be extremely helpful for understanding the reasoning. In any case: Thank you again!
Jun
16
comment Examples for proof of geometric vs. algebraic multiplicity
I see, anyway: examples are always good to exemplify the theory (at least I desperately need them!) - perhaps you could extend your answer? Thank you in any case!
Jun
16
comment Examples for proof of geometric vs. algebraic multiplicity
Thank you. Unfortunately you don't give any examples that connect to the proof as I asked. Perhaps you can add some? Thank you again!
Jun
16
asked Examples for proof of geometric vs. algebraic multiplicity
Jun
15
accepted Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
Jun
14
comment Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
So this implies $\frac{z^k+\overline{z}^k}{2}={\rm Re}(z^k)$ and $\frac{z^k-\overline{z}^k}{2}=i{\rm Im}(z^k)$, right?
Jun
14
comment Raising a square matrix to the k'th power: From real through complex to real again - how does the last step work?
Thank you, this clarifies quite a bit. The step seems even to hold when k is real - how does this work?