if two homogeneous systems of linear equations in two unknows have the same solutions, then they are equivalent
71203
Proving that two systems of linear equations are equivalent if they have the same solutions
100107
How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
109117
what value of K does the system have a unique solution
139685
If $A^2$ and $B^2$ are similar matrices, do $A$ and $B$ have to be similar?
158534
Proof that any linear system cannot have exactly 2 solutions.
27668
Finding nonnegative solutions to an underdetermined linear system
39800
Existence of solution for a linear system mod 2
80209
If $X,Y$ are equivalence relations, so is $X \times Y$
19132
Similar matrices have the same eigenvalues with the same geometric multiplicity
146046
Are two matrices having the same characteristic and minimal polynomial always similar?
145719
Similarity between $A$ and $B (2\times 2)$.
71316
Two inner products being equal up to a scalar
94638
Solving for three unknowns given three linear equations
116136
Proof that the inverse of a square matrix is unique
33591
Product of two matrices sharing the same eigenvector
37162
Prove that matrices have equal rank.
53612
Same solution implying row equivalence?