Find the value of k, (if any), for which the system below has unique, infinite or no solution.
10926
System of Linear Equations - how many solutions?
38635
How to prove that the matrix $A^k$ approaches $0$ as $k$ approaches infinity
50760
Solutions to $y^2 = x^3 + k$?
61438
A question regarding existence and uniqueness in IVP
55777
A tricky sum to infinity
23882
What are the chances of getting $K$ identical outcomes in a row in a series of $Y$ independent events?
18245
How to check if a system of congruence is solvable?
17265
Intuition for why equations of the form $k^x=x^c$ are not solvable trivially?
79925
Infinitely many values of $x$ that satisfy the equations
30120
Find solutions for an differential equation system
108321
On the problem $1$ of Putnam $2009$
63129
Infinite number of $k$ satisfying $p_{k+1} - p_{k} > 2$?
130664
Find value of infinite product
43219
If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$
116647
The number of different ways to choose $k$ out of $n$ unique items
137308
If an IVP does not enjoy uniqueness, then it possesses infinitely many solutions
101034
What's the probability that a given permutation has exactly $k$ fixed points.