query: Minimal polynomial of matrix with rank 1
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: 125096
negative_passages.text: Minimal polynomial of $\alpha=\sqrt 2e^\frac{2\pi i}{3}$
negative_passages.docid: 146046
negative_passages.text: Are two matrices having the same characteristic and minimal polynomial always similar?
negative_passages.docid: 24441
negative_passages.text: Inverse of a matrix is expressible as a polynomial?
negative_passages.docid: 111031
negative_passages.text: Matrix rank and linear independence of functions
negative_passages.docid: 447
negative_passages.text: Minimal polynomial for T is a product of distinct linear factors
negative_passages.docid: 6905
negative_passages.text: Rank of product of a matrix and its transpose
negative_passages.docid: 113169
negative_passages.text: Number of $\pm 1$ matrices whose determinant is negative or zero
negative_passages.docid: 128043
negative_passages.text: $A^n=0$ for $A$ nilpotent without the use of minimal polynomial
negative_passages.docid: 21578
negative_passages.text: Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.
negative_passages.docid: 82262
negative_passages.text: minimal polynomial of nth root of 2 over $\mathbb Q$
negative_passages.docid: 75349
negative_passages.text: Minimal polynomial of $\sqrt[3]{2} + \sqrt{3}$
negative_passages.docid: 82688
negative_passages.text: Least rank of a matrix
negative_passages.docid: 15202
negative_passages.text: the root of $N$th transpose matrix
negative_passages.docid: 31029
negative_passages.text: Characteristic polynomial of a matrix of $1$'s
negative_passages.docid: 80134
negative_passages.text: Maximum and minimum value of Determinant of $3 \times 3$ Matrix with entries $\pm 1$
negative_passages.docid: 41436
negative_passages.text: rank of complex conjugate transpose matrix property proof