query: Question with matrices, determinant and adjugate
positive_passages.docid: 144221
positive_passages.text: Matrix determinant lemma with adjugate matrix
negative_passages.docid: 101631
negative_passages.text: Determinant of a finite-dimensional matrix in terms of trace
negative_passages.docid: 60534
negative_passages.text: What is the best algorithm to find a determinant of a matrix?
negative_passages.docid: 7205
negative_passages.text: Find the determinant of $A + I$, where $A$ is a real matrix such that $AA^{\top}=I$ and $\det A<0$.
negative_passages.docid: 80134
negative_passages.text: Maximum and minimum value of Determinant of $3 \times 3$ Matrix with entries $\pm 1$
negative_passages.docid: 112736
negative_passages.text: Linear Transformation - linear algebra question
negative_passages.docid: 129743
negative_passages.text: $A$ be a $2\times 2$ real matrix with trace $2$ and determinant $-3$
negative_passages.docid: 82020
negative_passages.text: basic linear algebra question, proving it is a diagonal matrix and scalar matrix.
negative_passages.docid: 157246
negative_passages.text: Adjoint matrix eigenvalues and eigenvectors
negative_passages.docid: 130498
negative_passages.text: Linear algebra proof regarding matrices
negative_passages.docid: 79907
negative_passages.text: Determinant of a square matrix in a field
negative_passages.docid: 118190
negative_passages.text: Determinant of a Toeplitz matrix
negative_passages.docid: 49409
negative_passages.text: Are all of the following statements equivalent? (vectors and matrices)
negative_passages.docid: 24873
negative_passages.text: Determinant of elementary permutation matrix
negative_passages.docid: 40517
negative_passages.text: Determinant of a non-square matrix
negative_passages.docid: 52836
negative_passages.text: I get a wrong determinant - why?
negative_passages.docid: 123808
negative_passages.text: How would I solve the following problem involving elementary matrices?