[理工] [線代]-成大96
成大96 計算機數學
1. A matrix A is said to be skew symmetrix if A^T = -A.
Let A be an nxn skew symmetrix matrix.
(a) If A=B+C where B is symmetric and C is skew symmetric, find B and C.
(b) If n is odd, show that A must be singular.
這題感覺不難
可是確不知道該怎麼下筆Orz
(B+C)^T = -A
B^T - C = -A
B^T = C - A
所以 b_ij = c_ij-a_ij <= 應該不是要這種答案吧@@?
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