query: matrices with same minimal and characteristic polynomials are conjugate
positive_passages.docid: 146046
positive_passages.text: Are two matrices having the same characteristic and minimal polynomial always similar?
negative_passages.docid: 19280
negative_passages.text: Jordan Canonical Form determined by characteristic and minimal polynomials in dimension $3$, but not beyond
negative_passages.docid: 40478
negative_passages.text: If $C$ commutes with certain matrices $A$ and $B$, why is $C$ a scalar multiple of the identity?
negative_passages.docid: 146715
negative_passages.text: A square matrix has the same minimal polynomial over its base field as it has over an extension field
negative_passages.docid: 118117
negative_passages.text: Conjugacy Class in a matrix group with columns of standard basis
negative_passages.docid: 133573
negative_passages.text: characteristic polynomial of the adjacency matrix of a tree
negative_passages.docid: 110502
negative_passages.text: $AB=BA$ with same eigenvector matrix
negative_passages.docid: 93531
negative_passages.text: Do commuting matrices share the same eigenvectors?
negative_passages.docid: 130720
negative_passages.text: Special linear algebra over finite field with characteristic 3
negative_passages.docid: 56211
negative_passages.text: An operator that commutes with another operator $T$ with distinct characteristic values is a polynomial in $T$
negative_passages.docid: 52528
negative_passages.text: Showing that minimal polynomial has the same irreducible factors as characteristic polynomial
negative_passages.docid: 136329
negative_passages.text: A matrix is similar to its transpose
negative_passages.docid: 73027
negative_passages.text: Questions on symmetric matrices
negative_passages.docid: 73297
negative_passages.text: Two idempotent matrices are similar iff they have the same rank
negative_passages.docid: 41436
negative_passages.text: rank of complex conjugate transpose matrix property proof
negative_passages.docid: 48906
negative_passages.text: Prove that T is diagonalizable if and only if the minimal polynomial of T has no repeated roots.
negative_passages.docid: 46265
negative_passages.text: Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$