query: What does the matrix $\frac{1}{n-1} X^{t}X$ represent?
positive_passages.docid: 3150
positive_passages.text: Is there an intuitive interpretation of $A^TA$ for a data matrix $A$?
negative_passages.docid: 32606
negative_passages.text: 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
negative_passages.docid: 24072
negative_passages.text: Intuitive explanation of why $\dim\operatorname{Im} T + \dim\operatorname{Ker} T = \dim V$
negative_passages.docid: 8606
negative_passages.text: Calculate $\int^{n+1}_1 \frac{(\{x\})^{[x]}}{[x]}dx$ where $n\in\mathbb{N}$, $[x]$ is the integer part of $x$ and $\left\{ x\right\} =x-[x]$.
negative_passages.docid: 133756
negative_passages.text: Geometric interpretation of $\det(A^T) = \det(A)$
negative_passages.docid: 129394
negative_passages.text: understanding $\frac{\partial x}{\partial y}\frac{\partial y}{\partial z}\frac{\partial z}{\partial x}=-1$
negative_passages.docid: 144953
negative_passages.text: Value of $\frac{x^n -a^n}{ x-a}$?
negative_passages.docid: 124116
negative_passages.text: What does the notation $\binom{n}{i}$ mean?
negative_passages.docid: 1906
negative_passages.text: Multiplying by a $1\times 1$ matrix?
negative_passages.docid: 54386
negative_passages.text: What is the relationship between the spectrum of a matrix and its image under a polynomial function?
negative_passages.docid: 27738
negative_passages.text: Gradient of $a^T X b$ with respect to $X$
negative_passages.docid: 96158
negative_passages.text: What's the associated matrix of this linear operator?
negative_passages.docid: 111705
negative_passages.text: Why does $\frac{1+t}{(1-t)^3}=\sum_{n=0}^{\infty}(1+n)^2t^n$
negative_passages.docid: 128355
negative_passages.text: Does $e^{tx} + x = t - 1$ yield a solution/s to $\frac{dx}{dt} = \frac{e^{-tx} - x}{e^{-tx} + t}$?
negative_passages.docid: 124164
negative_passages.text: ($n$-dimensional) Inverse Fourier transform of $\frac{1}{\| \mathbf{\omega} \|^{2\alpha}}$
negative_passages.docid: 153506
negative_passages.text: Proving the inverse of a matrix equals $I_n-\frac{1}{n-1}A$
negative_passages.docid: 135649
negative_passages.text: How is $\lim_{x \to a}\left(\frac{x^n - a^n}{x - a}\right) = n\times a^{n-1}$?