Two square matrices with the same minimial polynomial are similar for $n=5$ or $n=6$
126064
What are examples of two non-similar invertible matrices with same minimal and characteristic polynomial and same dimension of each eigenspace?
33591
Product of two matrices sharing the same eigenvector
126197
Prove that $T$ has a cyclic vector iff its minimal and characteristic polynomials are the same
65305
Minimal polynomial for an invertible matrix and its determinant
136422
Two finite fields with the same number of elements are isomorphic
35080
If matrices $A$ and $B$ commute, $A$ with distinct eigenvalues, then $B$ is a polynomial in $A$
30889
Classifying complex $2\times 2$ matrices up to similarity
123808
How would I solve the following problem involving elementary matrices?
123044
Commutative matrices are multiples of the identity
43570
Finding two non-zero matrices where $AX = BA$
48906
Prove that T is diagonalizable if and only if the minimal polynomial of T has no repeated roots.
3330
Square matrices, ABA = A?
24809
For all square matrices $A$ and $B$ of the same size, it is true that $(A+B)^2 = A^2 + 2AB + B^2$?
143689
Real $2\times 2$ matrix $X$ such that $X^2 + 2X= -5I$
110086
Let $A$ be an $m \times n$ matrix. Show $A^TA$ and $AA^T$ have the same eigenvalues
116136
Proof that the inverse of a square matrix is unique
141173
Are there matrices such that $AB=I$ and $BA \neq I$