Research Space for Linear Algebra & Discrete Mathematics
n-linear的意思是說, 當矩陣A, B, C只有第 i 列不同且假設ai, bi, ci分別為A, B, C的第 i 列若 ai = bi + t * ci則 det(A) = det(B) + t * det(C)回到這題, 看看解答取的那兩個矩陣 C 和 A_n A+B和那兩個矩陣都只有第一列不同且A+B的第一列 = C的第一列 + A_n 的第一列因此det(A + B) = det(C) + det(A_n)因此解答的寫 A + B = C + A_n 那一行雖然是錯的但後面行列式的推導沒問題
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n-linear的意思是說, 當矩陣A, B, C只有第 i 列不同
且假設ai, bi, ci分別為A, B, C的第 i 列
若 ai = bi + t * ci
則 det(A) = det(B) + t * det(C)
回到這題, 看看解答取的那兩個矩陣 C 和 A_n
A+B和那兩個矩陣都只有第一列不同
且A+B的第一列 = C的第一列 + A_n 的第一列
因此det(A + B) = det(C) + det(A_n)
因此解答的寫 A + B = C + A_n 那一行雖然是錯的
但後面行列式的推導沒問題
感謝助教回覆
A tech writer who is passionate to write about streaming devices and its channel programs. Apart from my work, I am interested in music and sketching. Are you a person who needs updates about the new releases and is interested in tech blogs?
Have a look at my recent blogs:
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