query: BA diagonalisable show that AB diagonalisable ( A and B are not square)
positive_passages.docid: 24454
positive_passages.text: The relationship between the eigenvalues of matrices $XY$ and $YX$
negative_passages.docid: 85845
negative_passages.text: Matrix with zeros on diagonal and ones in other places is invertible
negative_passages.docid: 88982
negative_passages.text: Prove that for any two sets $A$ and $B$, $A\notin B$ or $B\notin A$
negative_passages.docid: 28155
negative_passages.text: Two questions about diagonalization
negative_passages.docid: 106986
negative_passages.text: Eigenvalues of $AB$ and $BA$
negative_passages.docid: 106322
negative_passages.text: Let $A$ and $B$ be square matrices of the same size such that $AB = BA$ and $A$ is nilpotent. Show that $AB$ is nilpotent.
negative_passages.docid: 118283
negative_passages.text: Show that if $A^{n}=I$ then $A$ is diagonalizable.
negative_passages.docid: 106442
negative_passages.text: Show that AB is singular if A is singular
negative_passages.docid: 97547
negative_passages.text: Is it possible to get a diagonal subset symbol?
negative_passages.docid: 85072
negative_passages.text: A "reverse" diagonal argument?
negative_passages.docid: 58339
negative_passages.text: The diagonalizable matrices are not dense in the square real matrices
negative_passages.docid: 72144
negative_passages.text: Show that $\mathbb Q(\sqrt p) \not\simeq\mathbb Q(\sqrt q)$
negative_passages.docid: 128453
negative_passages.text: If $A$ has two eigenvalues $\lambda _1, \lambda_2$ and $\dim (E_{\lambda_1})=n-1$, then $A$ is diagonalizable
negative_passages.docid: 144502
negative_passages.text: Showing that $A\cap B = A\setminus (A\setminus B)$
negative_passages.docid: 4517
negative_passages.text: Showing a $2\times2$ matrix is invertible
negative_passages.docid: 3682
negative_passages.text: If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable
negative_passages.docid: 22856
negative_passages.text: Ways to go from A to B(proof)