[線代] 複數矩陣 determinant問題
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For M ∈ M_(n*n)(C).let M be the matrix such that (M)_(ij) = M_(ij)
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for all i,j, where M_(ij) is the conjugate of M_(ij)
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prove that det(M) = det(M)
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目前想到，令 M = A + iB ==> M = A - iB ( A,B ∈ M_(n*n)(F) )
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det(M) = det(A - iB) = .......
後面部分就卡住了 T T
還是我這樣想法是不好做的
感謝各位解答!!
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