推 armopen :因為 skew-sym. 矩陣的特徵值只可能 0 或 純虛數. 07/21 18:13
If A is a skew-symmetric real matrix, prove that (I+A) is invertible.
(Hint: show that (I+A)X = 0 cannot have non-zero solution X in R^n)
用書內的提示
(I+A)X = 0 for some non-zero X
=> AX = -X
=> -1 is an eigenvalue of A
請問之後要怎麼做呢?
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