Evaluating $\int_{\mathbb R^n}e^{-\langle Ax,x \rangle}dx$ where $A$ is symmetric and positive definite
69349
If $A$ is positive definite, then $\int_{\mathbb{R}^n}\mathrm{e}^{-\langle Ax,x\rangle}\text{d}x=\left|\det\left({\pi}^{-1}A\right)\right|^{-1/2}$
98710
Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
152932
Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
131596
Symmetric Inequality in $\mathbb{R}$
128932
Is my expansion of the state $| x \rangle$ correct?
125569
Prove that the eigenvalues of a real symmetric matrix are real
60946
Find the matrix of $\langle f, g \rangle = \displaystyle\int_0^1 f(t) g(t) \, \mathrm dt$ with respect to the basis $\{1,t,\dots,t^n\}$
18470
A practical way to check if a matrix is positive-definite
9518
Evaluate: $ \int_0^1 \int_y^1 e^{x^2 }dxdy$
32606
Is the operator $T((x_1,x_2,...,x_n))=(x_1,\frac{x_2}2,\frac{x_3}3,...)$ on $\ell^2$ self-adjoint and unitary
90964
Prove: symmetric positive definite matrix
93759
Evaluate $\int_{0}^{\infty} \frac{e^{ax}-e^{bx}}{(1+e^{ax})(1+e^{bx})} dx$
146405
Norm with symmetric positive definite matrix
108560
Proof of a Gaussian Integral property
116632
Gram-Schmidt in Hilbert space?
6960
Necessary and sufficient condition for the matrix $A = I - 2 x x^t$ to be orthogonal
138025
How to show the solution of $\dot{x} = Ax $ is an invariant subspace?