对任意非负整数[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex], 证明: [tex=8.786x1.571]H7gYQONpOH0ReLi3G3kIg1VESP48BUK0UnNq0ZZnZGoKk5VHJsuMYzkm8ox9N9eO[/tex]
举一反三
- 设[tex=3.857x1.0]ooePFz0xjtusf6vpqQWa8A==[/tex], 证明[tex=6.071x1.5]jSQkp3AY1dfhljvrYqoI9+20CYhQPrsPY6WJKdiMWVU=[/tex] 其中 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]为非负整数。
- 假设[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]是[tex=2.429x1.071]fYRl1cpBZV0k8ULAvI7FIg==[/tex]矩阵，试证：对任意整数[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]，都有[tex=7.714x1.5]wiQyS+D4jxoqMG/+eBuXLQOMSIjzFckfsGPR4aGujdk=[/tex].（当[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]是负整数时，规定[tex=10.857x1.786]wiQyS+D4jxoqMG/+eBuXLcPLSSGKOnNKFNz4ahU1kLHIxNIgDCUTNuDb3G2FmBvQLnGxwWgC3ZTOjfpAYEo3HQ==[/tex]）.
- 若 [tex=8.571x2.857]pfgA/HCz+2/+OBaPhuXgpwau0q6kdrhIWS9Qmf1Nco6Z7jBnyP+MVS6WDKxhEp1S[/tex], 则 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 的值为 A: 0 B: 1 C: -1 D: 0 或 1
- 假设 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 是[tex=2.429x1.071]fYRl1cpBZV0k8ULAvI7FIg==[/tex]矩阵，试证:a) 对任意常数 [tex=2.571x1.0]VtY7jm6mc9rzSkWtkYe1NLpnuWB7PUTxqEY9UAy25cI=[/tex] 都有[tex=14.643x1.357]yhC9Vgi5kFQN6aI/CUtvlMWSdKde9g7Ys1XchUj0pwQCXAEJtfAZY5zTEHfYhL/AzIx9Ex1xfNhYMIs4X6yL8CXjg6rrtN3nVXtOXtroS7k=[/tex]b) 对任意整数 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] ,都有[tex=7.571x1.5]fQhSsBIjr0fi1PAOcGDZgnjcVNBezzcaM2QJuQ6VfC8=[/tex]( 当[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]是负整数时， 规定[tex=10.5x1.786]wiQyS+D4jxoqMG/+eBuXLcPLSSGKOnNKFNz4ahU1kLHIxNIgDCUTNuDb3G2FmBvQLnGxwWgC3ZTOjfpAYEo3HQ==[/tex])
- 证明一个 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 一循环置换的阶是 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex].