Are there any matrices satisfying $|A+B|=|A|+|B|$
125348
Does $\det(A + B) = \det(A) + \det(B)$ hold?
81799
Examples of functions where $f(ab)=f(a)+f(b)$
158845
Given $A$ and $B$ positive-definite matrices and $Q$ unitary matrix, prove that if $A = BQ$, then $A=B$.
35080
If matrices $A$ and $B$ commute, $A$ with distinct eigenvalues, then $B$ is a polynomial in $A$
85297
find a $3 \times 3$ matrix $A$ such that $A \neq I_3$ and $A^{197}=I_3$.
139685
If $A^2$ and $B^2$ are similar matrices, do $A$ and $B$ have to be similar?
82410
Find $C$, if $A=CBC$, where $A$,$B$,$C$ are symmetric matrices.
55787
Is there any matrix $2\times 2$ such that $A\neq I$ but $ A^3=I$?
88746
Positive definiteness of the matrix $A+B$
121062
Given a matrix, is there always another matrix which commutes with it?
142980
If $\,A^k=0$ and $AB=BA$, then $\,\det(A+B)=\det B$
106305
Prove/disprove: if $\det(A+X) = \det(B + X)$ for all $X$, then $A=B$
122622
Does there exist a matrix $P$ such that $P^n=M$ for a special matrix $M$?
76335
Proving that two matrices are congruent, in order to establish a rank and signature result.
147490
If matrix $AB=A$, does it mean B must be an identity matrix?
77554
Inverse of the sum of matrices
54198
algebra - matrices and polynoms