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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])

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])

发布时间:2025-06-24 23:06:31
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答案:[tex=15.571x2.786]SwPr5h2WrmkZnw8H3+rRwYo2DtasIMQ4H340galamnmR5nL6aDOv9aQydBqfBB1bhd84IvfVfWJjp6/fTvssLeze/SjzWhD1+VTHAkfQniQiFbCehVG/XW0y3u5219qiupWw8K8G48lGIJZmzqYaJrhzIpfrfrRgcxAiYQtXrXlCjjoLHP3nUfTfCQGVmAbg8FJ5WH9lmkJJBlZ1bDrb9awzQKWMhJl+NVb402Sq2nsH9km4f3HNpLemXRkjT0MTQsLbNN8VUabKfzi+wFoDMg==[/tex][tex=4.214x1.357]+HIu1jk9egXn83CQCnfUWg==[/tex] 时, [tex=15.714x1.5]wiQyS+D4jxoqMG/+eBuXLWYr5fD1VJw+orEytNYLhm85tOXmLfVEmWWj6+ZM9vEVdnpJSD3fpolXM2ttfCgmGQ==[/tex]                                 [tex=10.929x2.643]vD7B57jDJgRYz2u0gtnYVQQvhkrLgPMCst9V7KpNAnDevBILpWZgZG1PJsSuGOiuxRCzVq0mM+A5cA/OslOYaQ==[/tex][tex=2.357x1.071]rRgAw4bTx0aX2wqFm6q4lw==[/tex] 时, [tex=3.143x1.143]ae673q/QHZBwEEMNJOGUCA==[/tex][tex=32.786x3.929]ifE9NWj3X6IpRVSt3T5ITtpAWqBFm/aUPpzT3dOs86HMpafIpYr8iUZgVe3mCbaEae42C6SDsPPV0mXymF+ukll2ZkrQbskDcXYxzbfvOs+r1BhVnKpY1PLM7S1eGpNa5n5eKsvOKeAiCowRWsjouOZ1o+IWClo2pNt0W8YXjM/StmA2ZdA4aw9a6BJKp62CaYgn6naCp5tqA6erNn3WiacRmMfZjYW20YSwOu2y3Wn1y8q/pJtSDm3b6Mincczl[/tex]            [tex=3.786x1.214]Rpiq70W6rZe8hLsHd+w7/f+oLXw23PViiE569P2g8xU=[/tex]故[tex=1.357x1.214]iB2NMiw4lk21mSuON7dGvw==[/tex] 都有[tex=7.571x1.5]wiQyS+D4jxoqMG/+eBuXLQOMSIjzFckfsGPR4aGujdk=[/tex]
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