classical adjoint formula

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classical adjoint formula

In linear algebra, the adjugate, classical adjoint, or adjunct of a square matrix is the transpose .... The above formula implies one of the fundamental results in matrix algebra, that A is invertible if and only if det(A) is an invertible element of R. ,The transpose of the matrix whose ( i, j) entry is the a ij cofactor is called the classical adjoint of A: ... This result gives the following equation for the inverse of A:. , 的伴隨矩陣(adjugate 或classical adjoint),記作 -mathrmadj}-,A ,其中 (-mathrmadj}- ... 的伴隨(adjoint),定義如下:對於任意 n 維向量 -mathbfx}, ...,在線性代數中,餘因子是一種關於方陣之逆及其行列式的建構,餘因子矩陣的項是帶適當符號的子 .... 古典伴隨矩陣」(classical adjoint matrix) 是餘因子矩陣的「轉置矩陣」,它與逆矩陣的計算有極大的關係。 A − 1 = ( 1 det ( A ) ) a d j ( A ) -displaystyle ... ,在线性代数中,一个方形矩阵的伴随矩阵是一个类似于逆矩阵的概念。如果矩阵可逆,那么它的逆矩阵和它的伴随矩阵之间只差一个系数。然而,伴随矩阵对不可逆的 ... ,Adjugate Classical Adjoint. The matrix formed by taking the transpose of the cofactor matrix of a given original matrix. The adjugate of matrix A is often written adj ... ,This MATLAB function returns the Classical Adjoint (Adjugate) Matrix X of A, such that A*X = det(A)*eye(n) = X*A, where n is the number of rows in A.

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classical adjoint formula 相關參考資料
Adjugate matrix - Wikipedia

In linear algebra, the adjugate, classical adjoint, or adjunct of a square matrix is the transpose .... The above formula implies one of the fundamental results in matrix algebra, that A is invertible...

https://en.wikipedia.org

The Classical Adjoint of a Square Matrix - CliffsNotes

The transpose of the matrix whose ( i, j) entry is the a ij cofactor is called the classical adjoint of A: ... This result gives the following equation for the inverse of A:.

https://www.cliffsnotes.com

伴隨矩陣| 線代啟示錄

的伴隨矩陣(adjugate 或classical adjoint),記作 -mathrmadj}-,A ,其中 (-mathrmadj}- ... 的伴隨(adjoint),定義如下:對於任意 n 維向量 -mathbfx}, ...

https://ccjou.wordpress.com

餘因子矩陣- 维基百科,自由的百科全书

在線性代數中,餘因子是一種關於方陣之逆及其行列式的建構,餘因子矩陣的項是帶適當符號的子 .... 古典伴隨矩陣」(classical adjoint matrix) 是餘因子矩陣的「轉置矩陣」,它與逆矩陣的計算有極大的關係。 A − 1 = ( 1 det ( A ) ) a d j ( A ) -displaystyle ...

https://zh.wikipedia.org

伴随矩阵- 维基百科,自由的百科全书

在线性代数中,一个方形矩阵的伴随矩阵是一个类似于逆矩阵的概念。如果矩阵可逆,那么它的逆矩阵和它的伴随矩阵之间只差一个系数。然而,伴随矩阵对不可逆的 ...

https://zh.wikipedia.org

Mathwords: Classical Adjoint

Adjugate Classical Adjoint. The matrix formed by taking the transpose of the cofactor matrix of a given original matrix. The adjugate of matrix A is often written adj ...

http://www.mathwords.com

Classical adjoint (adjugate) of square matrix - MATLAB adjoint

This MATLAB function returns the Classical Adjoint (Adjugate) Matrix X of A, such that A*X = det(A)*eye(n) = X*A, where n is the number of rows in A.

https://www.mathworks.com