-
Linear algebra is the
branch of
mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...
- In
linear algebra, the
trace of a
square matrix A,
denoted tr(A), is the sum of the
elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle...
- In
linear algebra, the rank of a
matrix A is the
dimension of the
vector space generated (or spanned) by its columns. This
corresponds to the
maximal number...
-
Sheldon Jay (1997),
Linear Algebra Done
Right (2nd ed.), Springer-Verlag, ISBN 0-387-98259-0. Lay,
David C. (2005),
Linear Algebra and Its Applications...
- In
linear algebra and
functional analysis, a
projection is a
linear transformation P {\displaystyle P} from a
vector space to
itself (an endomorphism)...
- equivalent.
Basis of a
matroid Basis of a
linear program Change of basis –
Coordinate change in
linear algebra Frame of a
vector space –
Similar to the...
- In
linear algebra, a
minor of a
matrix A is the
determinant of some
smaller square matrix generated from A by
removing one or more of its rows and columns...
-
resulting algebraic structure is a monoid,
usually called the full
linear monoid, but
occasionally also full
linear semigroup,
general linear monoid etc...
-
Sheldon Jay (2015).
Linear Algebra Done
Right (PDF) (3rd ed.). Springer. ISBN 978-3-319-11079-0. Hefferon, Jim (2020).
Linear Algebra (PDF) (4th ed.). Orthogonal...
- the
algebraic dual space. When
defined for a
topological vector space,
there is a
subspace of the dual space,
corresponding to
continuous linear functionals...
