query: If I have a given matrix A and I perform it a row/column operation on it to get a new matrix B, are A and B similar?
positive_passages.docid: 24132
positive_passages.text: Why does Gaussian elimination not preserve similarity of a matrix?
negative_passages.docid: 154640
negative_passages.text: Do Diagonal Matrices Always Commute?
negative_passages.docid: 41805
negative_passages.text: Can a matrix have a null space that is equal to its column space?
negative_passages.docid: 142493
negative_passages.text: elementary row operation change the eigenvalue of a matrix
negative_passages.docid: 33559
negative_passages.text: Product or sum of invertible matrix give an invertible matrix?
negative_passages.docid: 85581
negative_passages.text: Matrices commute if and only if they share a common basis of eigenvectors?
negative_passages.docid: 121909
negative_passages.text: Are matrices and second rank tensors the same thing?
negative_passages.docid: 74460
negative_passages.text: Matrices A+B=AB implies A commutes with B
negative_passages.docid: 42500
negative_passages.text: Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
negative_passages.docid: 136142
negative_passages.text: Is division of matrices possible?
negative_passages.docid: 136160
negative_passages.text: Linear Algebra: Change of Basis Matrix and standard basis
negative_passages.docid: 62614
negative_passages.text: How to get matrix $A$ from $A^\top A=B$ with given symmetric matrix $b$?
negative_passages.docid: 65628
negative_passages.text: what happens to rank of matrices when singular matrix multiply by non-singular matrix??
negative_passages.docid: 14472
negative_passages.text: Creation of a matrix
negative_passages.docid: 68608
negative_passages.text: Why do row equivalent matrices have the same row space?
negative_passages.docid: 127719
negative_passages.text: Is the matrix $R$ in the $QR$ decomposition unique?
negative_passages.docid: 157899
negative_passages.text: Matrix problem similar to Problem 3, SEEMOUS 2019