- In
linear algebra, the
adjugate of a
square matrix A is the
transpose of its
cofactor matrix and is
denoted by adj(A). It is also
occasionally known as...
- ISO-639-3 code
Amman Civil Airport in East Amman,
Jordan (IATA code ADJ)
Adjugate (or
classical adjoint) of a
matrix in
mathematics AdJ,
software All pages...
- an
adjugate B=adj(tIn−A).{\displaystyle B=\operatorname {adj} (tI_{n}-A).} Then,
according to the right-hand
fundamental relation of the
adjugate, one...
-
Adjunction space in
topology Conjugate transpose of a
matrix in
linear algebra Adjugate matrix,
related to its
inverse Adjoint equation The
upper and
lower adjoints...
- AH{\displaystyle \mathbf {A} ^{\mathrm {H} }}
should not be
confused with the
adjugate, adj(A){\displaystyle \operatorname {adj} (\mathbf {A} )},
which is also...
-
expresses the
derivative of the
determinant of a
matrix A in
terms of the
adjugate of A and the
derivative of A. If A is a
differentiable map from the real...
-
multiplicativity of the
determinant and the
formula for the
inverse involving the
adjugate matrix mentioned below. In this event, the
determinant of the
inverse matrix...
- A = A−1, and
consequently A2 = I), is
called an
involutory matrix. The
adjugate of a
matrix A can be used to find the
inverse of A as follows: If A is...
- A)I_{\binom {n}{r}}.}
Taking adjugates and
compounds does not commute. However,
compounds of
adjugates can be
expressed using adjugates of compounds, and vice...
- {C} ^{\mathsf {T}}.} The
transpose of the
cofactor matrix is
called the
adjugate matrix (also
called the
classical adjoint) of A. The
above formula can...