query: Characteristic polynomial of a $7 \times 7$ matrix whose entries are $5$
positive_passages.docid: 2271
positive_passages.text: Determinant of a rank $1$ update of a scalar matrix, or characteristic polynomial of a rank $1$ matrix
negative_passages.docid: 26343
negative_passages.text: Number of certain (0,1)-matrices, Stanley's Enumerative Combinatorics
negative_passages.docid: 144145
negative_passages.text: Symmetric $3\times 3$ Matrices - Base matrix
negative_passages.docid: 88712
negative_passages.text: Determining a matrix from its characteristic polynomial
negative_passages.docid: 133573
negative_passages.text: characteristic polynomial of the adjacency matrix of a tree
negative_passages.docid: 57318
negative_passages.text: Property of the conjugate transpose matrix with inner product
negative_passages.docid: 81770
negative_passages.text: Determinant of an $n\times n$ complex matrix as an $2n\times 2n$ real determinant
negative_passages.docid: 96919
negative_passages.text: Characteristic equation of a recurrence relation
negative_passages.docid: 104037
negative_passages.text: Jordan normal form for a characteristic polynomial $(x-a)^5$
negative_passages.docid: 82295
negative_passages.text: Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem
negative_passages.docid: 31606
negative_passages.text: Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?
negative_passages.docid: 149364
negative_passages.text: Characteristic polynomial of an inverse
negative_passages.docid: 126197
negative_passages.text: Prove that $T$ has a cyclic vector iff its minimal and characteristic polynomials are the same
negative_passages.docid: 137890
negative_passages.text: Diagonalizable Operators and characteristic polynomials
negative_passages.docid: 65158
negative_passages.text: Oddity: Determinant of Skew-Symmetric $n\times n$ Matrices
negative_passages.docid: 125040
negative_passages.text: Show by induction : $n^7-n$ is a multiple of 7
negative_passages.docid: 65305
negative_passages.text: Minimal polynomial for an invertible matrix and its determinant