query: Question about similar matrix
positive_passages.docid: 151443
positive_passages.text: Find two $2 \times 2$ matrices $A$ and $B$ with the same rank, determinant,...but they are not similar.
negative_passages.docid: 12213
negative_passages.text: Similarity of real matrices over $\mathbb{C}$
negative_passages.docid: 13948
negative_passages.text: Matrix in a matrix
negative_passages.docid: 94037
negative_passages.text: Solving the matrix equation $AP=PB$, where $A$ and $B$ are similar
negative_passages.docid: 104886
negative_passages.text: Problem in skew-symmetric matrix
negative_passages.docid: 73297
negative_passages.text: Two idempotent matrices are similar iff they have the same rank
negative_passages.docid: 71040
negative_passages.text: If $ \operatorname{Tr}(M^k) = \operatorname{Tr}(N^k)\;\forall 1\leq k \leq n$, then how do we show the $M$ and $N$ have the same eigenvalues?
negative_passages.docid: 124583
negative_passages.text: A question about eigenvalues of $5\times5$ matrix
negative_passages.docid: 121909
negative_passages.text: Are matrices and second rank tensors the same thing?
negative_passages.docid: 116309
negative_passages.text: Is this matrix positive semi-definite?
negative_passages.docid: 86826
negative_passages.text: Almost a Vandermonde matrix
negative_passages.docid: 136329
negative_passages.text: A matrix is similar to its transpose
negative_passages.docid: 120687
negative_passages.text: If the sum of eigenvectors is an eigenvector, then they all correspond to the same eigenvalue
negative_passages.docid: 48658
negative_passages.text: Let $A$ and $B$ be $n\times n$ matrices. Suppose $A$ is similar to $B$. Prove trace($A$) = trace($B$).
negative_passages.docid: 123808
negative_passages.text: How would I solve the following problem involving elementary matrices?
negative_passages.docid: 34576
negative_passages.text: Some questions about Hilbert matrix
negative_passages.docid: 135316
negative_passages.text: A basic question on diagonalizability of a matrix