dmonopoly

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9 Questions

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7	How do you find a basis for the set of all $3 \times 3$ matrices whose rows and columns add up to zero?
7	For what $x\in[0,1]$ is $y = \sum\limits_{k = 1}^\infty\frac{\sin( k!^2x )}{k!}$ differentiable?
2	What is the dimension of the subspace of $P_2 $ given by span $\{2 + x^2, 4-2x+3x^2, 1+x\}?$
1	Proving an isomorphism $T_1T_2$ knowing $T_1$ and $T_2$ are 1-1 and onto, respectively
1	Given a projection T, how do we prove that T(v) = v in this situation?

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4 Answers

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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 $r(q) =\;$?
1	For what $x\in[0,1]$ is $y = \sum\limits_{k = 1}^\infty\frac{\sin( k!^2x )}{k!}$ differentiable?
0	How is $x = 0$ a solution to x' = Ax?

9 Tags

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

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