數學 matrix

2012-04-05 8:17 pm
Show that if A is a 3 by 3 matrix such that A ^T= -A, then det A =0
更新1:

不好意思,第2步是怎樣來的?可否指教我?thx

回答 (2)

2012-04-06 2:03 am
✔ 最佳答案
DET (A^T) = DET(-A)
DET A = (-1)^3(DETA)
DET A = -DET A
2DET A = 0
DET A =0
參考: ME
2012-04-06 6:48 am
For any n x n matrix, det (kA) = k^n det A


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