Adjoint of a matrix or adjugate matrix is the transpose of a cofactor matrix. Learn how to find the adjoint of a matrix using various methods along with examples and properties here.
adjoint英语解释 In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B, then there is typically some formula of the type adjoint例句 Theadjointof a matrix is crucial in calculating its inverse. ...
1.Linear operators preservingweak adjoint matrixbetween matrix spaces矩阵空间上保弱伴随矩阵的线性映射 2.In this paper,the concept ofweak adjoint matrixis introduced by using adjoint matrix,and the relations between them and the properties ofweak adjoint matrixare given.利用伴随矩阵的概念引入了弱伴随矩...
We introduce a determinantal formula for X, representing its elements in terms of minors of order s = rank(X), 1 ≤ s ≤ r = rank(A), taken from the matrix A and two adequately selected matrices. In accordance with these results, we find restrictions of the adjoint mapping such that ...
Adjoint In mathematics, the term adjoint applies in several situations. Several of these share a similar formalism: if A is adjoint to B, then there is typically some formula of the type 以上来源于:Wikipedia 学习怎么用 词组短语 adjoint matrix伴随矩阵 ...
In this paper, we investigate a general and determinantal representation, and conditions for the existence of a nonzero {2}-inverse X of a given complex matrix A. We introduce a determinantal formula for X, representing its elements in terms of minors of order s = rank(X), 1 ≤ s ≤ ...
And so for any rotation matrix R ∈ SO (3), relative to given axes x, y, z for ℝ3, its adjoint map AdR acting on so (3) ≅ ℝ3 has the same matrix representation relative to the induced basis {Ax, Ay, Az} of so(3). (NB: This agreement between SO (3)'s adjoint ...
2.In this paper, based on the invariant subspace theory and adjoint operator concept of linear operator, a new matrix representation method is proposed to calculate the normal forms of n order general nonlinear dynamic systems.对于 n阶一般的非线性动力系统 ,根据线性算子的不变子空间理论和共轭算子概...
of a matrix can be found using the adjoint by the formula A−1=1|A|adj(A), where|A| represents the determinant of the matrix and adj(A) represents the adjoint of the matrix which can be found using the formula Adj(A)=[cofactor(A)]T where T repre...
To obtain the discrete adjoint formulation, one must work backwards through the tangent problem and transpose each matrix created along the way. Deriving the tangent problem for boundary conditions is less complex than deriving the adjoint problem. Linearization is often necessary to develop an ...