query: How is the "diagonal proof" valid?
positive_passages.docid: 6681
positive_passages.text: How does Cantor's diagonal argument work?
negative_passages.docid: 50804
negative_passages.text: It seems obvious, but how to prove it formally?
negative_passages.docid: 158724
negative_passages.text: Show that $B$ is diagonalizable if If $AB=BA$ and $A$ has distinct real eigenvalues
negative_passages.docid: 106799
negative_passages.text: Proof Verification: Converse of Intermediate Value Theorem
negative_passages.docid: 102972
negative_passages.text: Cardinality of $\mathbb{R}^\mathbb{R}$ by diagonal argument
negative_passages.docid: 157733
negative_passages.text: Are positive real numbers $x,y$ allowed to be taken out during this proof?
negative_passages.docid: 50268
negative_passages.text: Why is mathematical induction a valid proof technique?
negative_passages.docid: 135046
negative_passages.text: Can this quick way of showing that $K[X,Y]/(Y-X^2)\cong K[X]$ be turned into a valid argument?
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: 68238
negative_passages.text: Diagonalisable or not?
negative_passages.docid: 63475
negative_passages.text: Is there any connection between a matrix being invertible and being diagonalizable?
negative_passages.docid: 106305
negative_passages.text: Prove/disprove: if $\det(A+X) = \det(B + X)$ for all $X$, then $A=B$
negative_passages.docid: 22193
negative_passages.text: Why, logically, is proof by contradiction valid?
negative_passages.docid: 132873
negative_passages.text: Understanding Epsilon-Delta Proof
negative_passages.docid: 10828
negative_passages.text: If $A^2 = I$, then $A$ is diagonalizable, and is $I$ if $1$ is its only eigenvalue
negative_passages.docid: 36613
negative_passages.text: Prove that simultaneously diagonalizable matrices commute
negative_passages.docid: 130268
negative_passages.text: How to prove that a nilpotent matrix is not invertible?