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特殊矩陣, Vandermonde行列式, 反矩陣, Laplace降階求行列式, any matrix A =( A+A^T)/2 +(A…
特殊矩陣
相似矩陣(similar matrix)
Def：B=P^(-1)AP,than B is A's similar matrix
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if A^(-1) exits,than B^(-1) exits
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相當矩陣(equivalent matrix)
Def：B=PAQ,det(P)≠0,det(Q)≠0,than B is A's equivalent matrix
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Laplace降階求行列式
行列式
基本運算
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if A^-1 exits,det(A^-1)=1/det(A)
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if Ann,則det(aA)=a^ndet(A)
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any matrix A =( A+A^T)/2 +(A-A^T)/2
and ( A+A^T)/2 is a symmetric matrix
( A-A^T)/2 is a skew-symmetric matrix
any matrix A =( A+A^H)/2 +(A-A^H)/2
and ( A+A^H)/2 is a hermitian matrix
(A-A^H)/2 is a skew-hermitian matrix
