query: Problem about real square matrix with rank 1
positive_passages.docid: 5058
positive_passages.text: Eigenvalues of the rank one matrix $uv^T$
negative_passages.docid: 150387
negative_passages.text: Questions about matrix rank, trace, and invertibility
negative_passages.docid: 127799
negative_passages.text: Eigenvalues of symmetric matrices are real without (!) complex numbers
negative_passages.docid: 84522
negative_passages.text: A better proof for $\det(P) = \pm1$ if $P$ is an orthogonal matrix
negative_passages.docid: 44383
negative_passages.text: Finding rank of a matrix depending on parameter a
negative_passages.docid: 75104
negative_passages.text: Existence of some type matrix
negative_passages.docid: 47301
negative_passages.text: Hermitian Matrix
negative_passages.docid: 4509
negative_passages.text: Proof that an involutory matrix has eigenvalues 1,-1
negative_passages.docid: 3601
negative_passages.text: A problem about Vandemonde matrix
negative_passages.docid: 32833
negative_passages.text: Matrix is either null or similar to the elementary matrix $E_{2,1}$
negative_passages.docid: 145396
negative_passages.text: Symmetric Matrix , Eigenvectors are not orthogonal to the same eigenvalue.
negative_passages.docid: 38436
negative_passages.text: If an orthogonal matrix has determinant -1 then it has -1 as an eigenvalue
negative_passages.docid: 82688
negative_passages.text: Least rank of a matrix
negative_passages.docid: 124095
negative_passages.text: $A$ is a real orthogonal matrix, prove that $ (I+A)^{-1}(I-A)$ is skew-symmetric
negative_passages.docid: 80544
negative_passages.text: Need verification - Prove a Hermitian matrix $(\textbf{A}^\ast = \textbf{A})$ has only real eigenvalues
negative_passages.docid: 146847
negative_passages.text: Given a square matrix A of order n, prove $\operatorname{rank}(A^n) = \operatorname{rank}(A^{n+1})$
negative_passages.docid: 21758
negative_passages.text: Rank of the $n \times n$ matrix with ones on the main diagonal and $a$ off the main diagonal