query: Prove or disprove that A and B are similar matrices
positive_passages.docid: 145719
positive_passages.text: Similarity between $A$ and $B (2\times 2)$.
negative_passages.docid: 158845
negative_passages.text: Given $A$ and $B$ positive-definite matrices and $Q$ unitary matrix, prove that if $A = BQ$, then $A=B$.
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: 88746
negative_passages.text: Positive definiteness of the matrix $A+B$
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: 21737
negative_passages.text: If $A|B$ and $B|A$ then prove $A=\pm B$
negative_passages.docid: 73155
negative_passages.text: Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular
negative_passages.docid: 19203
negative_passages.text: Is the rank of a matrix the same of its transpose? If yes, how can I prove it?
negative_passages.docid: 9574
negative_passages.text: How to show that $\det(AB) =\det(A) \det(B)$?
negative_passages.docid: 74460
negative_passages.text: Matrices A+B=AB implies A commutes with B
negative_passages.docid: 156827
negative_passages.text: Prove that the directrix-focus and focus-focus definitions are equivalent
negative_passages.docid: 52882
negative_passages.text: find nonsingular matrices $B$ and $C$ that satisfy $BC+ CB= 0$
negative_passages.docid: 79526
negative_passages.text: How do I tell if matrices are similar?
negative_passages.docid: 64656
negative_passages.text: how do you prove that $A\times (B\setminus C) = (A\times B) \setminus (A\times C)$?
negative_passages.docid: 122580
negative_passages.text: If N is elementary nilpotent matrix, show that N Transpose is similar to N
negative_passages.docid: 55031
negative_passages.text: Show any matrix $A_{n\times n}$ can be written as sum of two nonsingular matrices
negative_passages.docid: 36613
negative_passages.text: Prove that simultaneously diagonalizable matrices commute