dmonopoly
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### Questions (10)

 8 How do you find a basis for the set of all $3 \times 3$ matrices whose rows and columns add up to zero? 8 For what $x\in[0,1]$ is $y = \sum\limits_{k = 1}^\infty\frac{\sin( k!^2x )}{k!}$ differentiable? 2 Given the linear transformation from $M_{n}(\mathbb{R}) \to M_{n}(\mathbb{R})$ defined by $S(A) = A + A^{T}$, how do you find the $\dim(\ker(S))$? 2 What is the dimension of the subspace of $P_2$ given by span $\{2 + x^2, 4-2x+3x^2, 1+x\}?$ 1 Why compare f(n)/f(n-1) = 1 to solve for the maxima of a discrete function?

### Reputation (281)

 +10 For what $x\in[0,1]$ is $y = \sum\limits_{k = 1}^\infty\frac{\sin( k!^2x )}{k!}$ differentiable? +5 For what $x\in[0,1]$ is $y = \sum\limits_{k = 1}^\infty\frac{\sin( k!^2x )}{k!}$ differentiable? +5 Given the linear transformation from $M_{n}(\mathbb{R}) \to M_{n}(\mathbb{R})$ defined by $S(A) = A + A^{T}$, how do you find the $\dim(\ker(S))$? +5 Why compare f(n)/f(n-1) = 1 to solve for the maxima of a discrete function?

 2 For what $x\in[0,1]$ is $y = \sum\limits_{k = 1}^\infty\frac{\sin( k!^2x )}{k!}$ differentiable? 1 Proving an isomorphism $T_1T_2$ knowing $T_1$ and $T_2$ are 1-1 and onto, respectively 1 Midpoint Rule, Trapezoidal Rule, etc.: When the number of intervals increases by a factor of $q$, the approximation error decreases by $r(q) =\;$? 0 How is $x = 0$ a solution to x' = Ax?

### Tags (10)

 3 calculus × 4 0 differential-equations × 2 2 real-analysis × 2 0 multivariable-calculus 1 linear-algebra × 8 0 transformation 1 integration × 3 0 combinatorics 1 approximation × 2 0 optimization

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