推 attomahawk :因為 A 為 Singular => det(A) = 0 且 A^(-1)不存在 04/01 19:20
推 attomahawk :A*adj(A) = det(A)*I = 數字0 * 單位矩陣 = 零矩陣 04/01 19:22
show thaat if matrix A is singular, then matrix adj A is singular
假設adj(A)為nonsingular
因A為singular => det(A)=0
因為 A*adj(A) = det(A)*I => A = det(A)(adj(A))^(-1) = O
所以adj(A) = O
請問黃字是怎麼來的?
謝謝
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