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 Apr21 asked wavelet transformation for discrete vector Apr14 comment find special basis to make null space part equal to zero Thank you so much for your answer! Apr7 accepted Computing bases for direct, wedge, tensor products, etc., of given vector spaces Apr7 revised Computing bases for direct, wedge, tensor products, etc., of given vector spaces added 16 characters in body Apr7 comment Computing bases for direct, wedge, tensor products, etc., of given vector spaces @Travis Thank you for your answer! I fixed (1). For (3), why it is the sum not the product? I think for $(v_i,w_j)$, the first element has $dim(V)$ choices, and the second element has $dim(W)$ choices, so it should be $dim(V)dim(W)$. Am I wrong? BTW, just want to make sure, $V\oplus W$ and $V\times W$ are the same thing, right? Apr7 comment Computing bases for direct, wedge, tensor products, etc., of given vector spaces @DietrichBurde Well, we can assume that, since my actual problem is just about finite dimension. Apr7 revised Computing bases for direct, wedge, tensor products, etc., of given vector spaces added 9 characters in body Apr7 asked Computing bases for direct, wedge, tensor products, etc., of given vector spaces Apr7 comment example for torsion free but not cyclic group OK, thank you so much for your help! Apr7 comment example for torsion free but not cyclic group Thank you for your answer! One more question, the converse is not true(torsion free is not all free abelian group), right? As you mentioned in the last sentence, counterexample can be considered among those not finitely generated torsion-free abelian groups. Is $\mathbb{Z}^{\infty}$ a such example(torsion-free but not free abelian group)? Apr7 accepted example for torsion free but not cyclic group Apr7 asked How to evaluate the coefficient of power series? Apr6 comment example for torsion free but not cyclic group Thank you very much! Apr6 asked example for torsion free but not cyclic group Apr6 comment Find Jordan canonical form with Kronecker product of JCF I found a good notes digitalcommons.unf.edu/cgi/… But I don't know how to use it(page 48 Thm 56). My problem is such a corner case, with all the eigenvalue 2 and not diagonalizable. Apr6 asked Find Jordan canonical form with Kronecker product of JCF Apr6 asked use universal properties to prove the existence of isomorphism Apr6 accepted find special basis to make null space part equal to zero Apr6 accepted Kronecher product of two Hadamard matrices is Hadamard matrix Apr6 asked subspace of a linear space with integer coefficients