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Aug
11
comment Linear map with polynomials - Find a matrix
Do you see that $P_3$ is a vector space? Do you know what the definition of a basis of a vector space is? Can you write a general expression that every element in $P_3$ looks like?
Aug
10
comment Linear map with polynomials - Find a matrix
Do you know why $\{1,x,x^2,x^3\}$ is a basis of $P_3$? The strategy you use to find $A$ is usually the same: You apply $F$ on your basis and then see which matrix $A$ satisfies $A \cdot v = F(v)$ for all $v$ in your vector space. The matrix corresponding to a linear map depends on a basis - thus if you take a different basis in ii), you will have a different matrix $A'$. My answer here might be helpful: math.stackexchange.com/a/1087851/3787
Aug
10
awarded  Civic Duty
Aug
7
comment English translation of von Neumann's “Zur Theorie der Gesellschaftsspiele”, 1928
I'm afraid I can't since I haven't read it myself. My game theory course was in German, so we used German books/articles. Are you just interested in learning some basic game theory in general or do you absolutely want to read about it from Von Neumann?
Aug
7
answered English translation of von Neumann's “Zur Theorie der Gesellschaftsspiele”, 1928
Aug
7
comment Multiplications in determinant of an $n \times n$ matrix?
If you don't know what the notation $\mathcal{O}(N^3)$ means, check out this: en.wikipedia.org/wiki/Big_O_notation
Aug
7
comment Example of a nowhere dense subset of a metric space.
What's the closure of $\mathbb{Z}$? What's its interior?
Aug
7
comment How did Euler give a sum to the divergent series $…x^{-3}+x^{-2}+x^{-1}+1+x^1+x^2+x^3.. = 0$?
How is this supposed to hold for any $x > 0$? All summands are strictly positive, so their sum surely can't be $0$?
Aug
5
comment Jänich linear algebra, Question 2.3 solution clarification
Take $U_1 = U_2 = \{0\}$. Is $(U_1 \cup U_2) \setminus U_2 = U_1$?
Aug
5
answered Explanation of this integral's solution
Aug
3
accepted Proving that the coordinate basis is a basis of a tangent space
Aug
3
comment What is the difference between the following $2$ sets?
What is the difference between $[1+\delta, \infty)$ and $(1,\infty)$? Does one of them contain the other?
Aug
3
reviewed Edit $A$ is a $n \times n$ matrix over $\mathbb{R}$ such that $A^2+A+5I=0$. Find the characteristic polynomial of the matrix $A$.
Aug
3
revised $A$ is a $n \times n$ matrix over $\mathbb{R}$ such that $A^2+A+5I=0$. Find the characteristic polynomial of the matrix $A$.
added 7 characters in body; edited title
Aug
3
revised Proving that the coordinate basis is a basis of a tangent space
deleted 10 characters in body
Aug
3
asked Proving that the coordinate basis is a basis of a tangent space
Jul
26
awarded  Popular Question
May
10
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May
4
awarded  Nice Question
Mar
17
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