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 May 2 revised limit of 2-dimensional function added 44 characters in body; edited tags May 2 awarded Autobiographer May 2 awarded Informed May 2 comment find a vector perpendicular to set of vectors @alice_v3.0.4 Yes, the standard one is Gaussian Elimination May 2 awarded Sportsmanship May 2 comment randomly generate M pairs of complex numbers from 1 to N, find gcd. you may be better off posting to stack overflow May 2 comment A different notion of convergence for this sequence? +1 interesting idea, hope people with more experience in analysis can provide more insight May 2 comment find a vector perpendicular to set of vectors cross product only works in $\mathbb{R}^3$ but perhaps you know an extension. The only way you get 0 is when the matrix $A$ is full rank, sure it's not the same here -- unless your original vector is not in the row space, which is why i did not mention it in my answer... But likely, you are right (still, solving a linear equation is supposedly simpler that Gram-Schmidt, but I like your solution, +1) May 2 revised find a vector perpendicular to set of vectors added 24 characters in body May 2 comment find a vector perpendicular to set of vectors you will quite possibly get $\vec{0}$. May 2 answered find a vector perpendicular to set of vectors May 2 revised Distance from a compact subset need not be attained in a metric space? added 18 characters in body; edited tags; edited title May 2 revised Find all possible values of the integral edited tags May 2 comment Solving $f(x) - g(x) = 0$, where $f(x) = e^x - 2.4$ and the graph of $g(x)$ is shown you would do better posting the question here, instead of linking to a picture. I, for example, cannot open the picture you posted because of server restriction rules -- but would be able to read the text had you posted it directly. May 2 answered why any vector can be wriiten as the sum of two components in the row space and nullspace? May 2 comment why any vector can be wriiten as the sum of two components in the row space and nullspace? isn't this a straight-forward consequence of row space and nullspace being perpendicular to each other with their dimensions summing to the entire space? May 2 revised If it's true for $\textrm{rank}(A)=\textrm{rank}(A^2)$ edited title May 1 revised Use Chebyshev’s inequality to choose $n$ such that $P(\bar{X} > 4) > 0.9$ edited tags May 1 revised Use Chebyshev’s inequality to choose $n$ such that $P(\bar{X} > 4) > 0.9$ edited title May 1 comment Error Correcting Code usually repeating the message greatly enhances your degree of verification, you are then able to detect errors in any bit, as long as they have not been simultaneously flipped, and then passing the check digit gives an idea about how to correct it properly.