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### Questions (42)

 6 Find $\int e^{-x}\cos x\,dx$ without using complex numbers 6 Legendre symbol, second supplementary law 6 Find all linearly dependent subsets of this set of vectors 5 Transformation matrix to go from one vector to another 3 Find eigen values of $B = \begin{bmatrix} 0 & A^* \\ A &0 \end{bmatrix}$

### Reputation (453)

 +5 Why $f:R^2\to R$, with $\mbox{dom} f=R^2_+$ and $f(x_1,x_2) =x_1x_2$ is quasiconcave? +10 If n balls are thrown into k bins, what is the probability that every bin gets at least one ball? +5 Detect if two ellipses intersect +5 Transformation matrix to go from one vector to another

 3 Numerical problems 1 Creating a Tridiagonal matrix in matlab 1 If n balls are thrown into k bins, what is the probability that every bin gets at least one ball? 0 Transformation matrix to go from one vector to another 0 Why is the determinant of a rotation matrix equal to 1?

### Tags (55)

 3 arithmetic 0 linear-algebra × 6 1 probability × 3 0 graph-theory × 5 1 balls-in-bins × 2 0 geometry × 4 1 matlab × 2 0 derivatives × 4 0 algorithms × 6 0 matrices × 4

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