- In mathematics,
particularly in
linear algebra, a
skew-
symmetric (or
antisymmetric or antimetric)
matrix is a
square matrix whose transpose equals its...
- In mathematics, the
determinant of an m-by-m
skew-
symmetric matrix can
always be
written as the
square of a
polynomial in the
matrix entries, a polynomial...
-
bilinear form to be
symmetric if B(v, w) = B(w, v) for all v, w in V;
alternating if B(v, v) = 0 for all v in V;
skew-
symmetric or
antisymmetric if B(v...
- In mathematics, the
determinant is a scalar-valued
function of the
entries of a
square matrix. The
determinant of a
matrix A is
commonly denoted det(A)...
-
other k.
These products are all
multilinear and
skew-
symmetric, and can be
defined in
terms of the
determinant and parity. The ( n − 1 ) {\displaystyle (n-1)}...
- real
square matrix is
symmetric,
skew-
symmetric, or orthogonal, then it is normal. If a
complex square matrix is Hermitian,
skew-Hermitian, or unitary...
- \Omega } is a
fixed 2 n × 2 n {\displaystyle 2n\times 2n} nonsingular,
skew-
symmetric matrix. This
definition can be
extended to 2 n × 2 n {\displaystyle...
-
Vandermonde determinant. The
degree d
Schur polynomials in n
variables are a
linear basis for the
space of
homogeneous degree d
symmetric polynomials...
-
electrical engineering The
result that the
determinant of
skew-
symmetric matrices with odd size vanishes, see
skew-
symmetric matrix Jacobi's four-square theorem...
- A = AT, is a
symmetric matrix. If instead, A is
equal to the
negative of its transpose, that is, A = −AT, then A is a
skew-
symmetric matrix. In complex...
