query: Given matrix $A$, find the number of solutions of $X^2 = A$.
positive_passages.docid: 142642
positive_passages.text: $A=\begin{pmatrix}0&0&1\\ 0&1&0\\ 1&0&0\end{pmatrix}$, $X^2=A$ has no solutions
negative_passages.docid: 94037
negative_passages.text: Solving the matrix equation $AP=PB$, where $A$ and $B$ are similar
negative_passages.docid: 156468
negative_passages.text: Solutions to $a+b+c=12$, $a, b, c \in \mathbb{N}_0$
negative_passages.docid: 132346
negative_passages.text: a linear algebra multiple choice problem
negative_passages.docid: 106896
negative_passages.text: Number of solutions of $x_1+2x_2+\cdots+kx_k=n$?
negative_passages.docid: 129454
negative_passages.text: Solution to a quadratic form
negative_passages.docid: 96185
negative_passages.text: Solutions of $x^2+y^2+z^2 = n$ in $\mathbb{Z}_2$.
negative_passages.docid: 109736
negative_passages.text: For a 2x2 matrix A satisfying $A^k=I$, compute $e^A$
negative_passages.docid: 103165
negative_passages.text: the number of the positive integer numbers $k$ that makes for the two quadratic equations $ \pm x^2 \pm px \pm k$ rational roots.
negative_passages.docid: 117352
negative_passages.text: Show $x^n+ax+b=0$ has most two solutions
negative_passages.docid: 57330
negative_passages.text: Find the number of solutions of $\sin x+2 \sin 2x- \sin 3x=3$
negative_passages.docid: 7085
negative_passages.text: Prove that if the equation $x^{2} \equiv a\pmod{pq}$ has any solutions, then it has four solutions.
negative_passages.docid: 41890
negative_passages.text: How to get all solutions of $x^2 \equiv$ $a$ mod $p$?
negative_passages.docid: 103993
negative_passages.text: Find all real solutions for $x$ in $2(2^x−1)x^2+(2^{x^2}−2)x=2^{x+1}−2$.
negative_passages.docid: 20034
negative_passages.text: Does $a^2+b^2=1$ have infinitely many solutions for $a,b\in\mathbb{Q}$?
negative_passages.docid: 38541
negative_passages.text: How many solutions are there to $x_1 + x_2 + ... + x_5 = 21$?
negative_passages.docid: 153392
negative_passages.text: Let $A$ be a $n\times n$ matrix such that $a_{ij}=ij$,find the eigenvalues of the matrix $A$.