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- W4240459293 abstract "‘Determinants and matrices’ explains that in three dimensions, the absolute value of the determinant <italic>det(A)</italic> of a linear transformation represented by the matrix <italic>A</italic> is the multiplier of volume. The columns of <italic>A</italic> are the images of the position vectors of the sides of the unit cube and they define a three-dimensional version of a parallelogram, a parallelepiped, the volume of which is <italic>|det(A)|</italic>. It goes on to describe the properties and applications of determinants to networks (using the Kirchhoff matrix); Cramer’s Rule; eigenvalues; and eigenvectors, which are fundamental in linear mathematics. Other key topics in matrix theory—similarity, diagonalization, and factorization of matrices—are also discussed." @default.
- W4240459293 created "2022-05-12" @default.
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- W4240459293 date "2015-10-22" @default.
- W4240459293 modified "2023-09-25" @default.
- W4240459293 title "9. Determinants and matrices" @default.
- W4240459293 doi "https://doi.org/10.1093/actrade/9780198732822.003.0009" @default.
- W4240459293 hasPublicationYear "2015" @default.
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