设 [tex=3.143x1.214]TGEECqmBKmzi6fwUq56UZg==[/tex] 都是域 [tex=0.643x1.0]0WA5oCO54gKWR/jKi5M2Zw==[/tex] 上的线性空间, 并且 [tex=0.643x1.0]jro2X/cRz2SsmjZvcOdvsQ==[/tex] 是有限维的. 设 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 是 [tex=0.643x1.0]jro2X/cRz2SsmjZvcOdvsQ==[/tex] 到 [tex=0.714x1.0]X6uqj1A7AQmRFBpFsTbZTg==[/tex] 的一个线性映射, [tex=0.929x1.0]GTnOCR9hNPsOuxGSyBGTAE4D+bwdNZdKWKqAkIkho7A=[/tex] 是 [tex=0.714x1.0]X6uqj1A7AQmRFBpFsTbZTg==[/tex] 到 [tex=1.0x1.0]97Y4VMFIqE7cl6MEqnCpuw==[/tex] 的一个线性映射. 证明：[tex=20.214x1.357]FS7OZA/QB7C+VSLfh3qSHml3J36eT1fzanRn2SPZBMlHDoWfXsVTxEupwatQ872w+Ry/E91iqo1QY70oD5KrHZyAY7bKxHTCEAxrEKkuuwY9EXVhpfvislmuWyvh/1DwDmCNGltUOf+1rsBXVUVDsfQHUY808wP0MujXrZPcRDAqB/B6oy8bKuIeYNa1pjcyidih+u0c8/G1wWH/PlqGyepKB/xPHAVMzoXlLfDbh53N6KijN8t4FbNLPDXKXBai[/tex]
设 [tex=3.143x1.214]TGEECqmBKmzi6fwUq56UZg==[/tex] 都是域 [tex=0.643x1.0]0WA5oCO54gKWR/jKi5M2Zw==[/tex] 上的线性空间, 并且 [tex=0.643x1.0]jro2X/cRz2SsmjZvcOdvsQ==[/tex] 是有限维的. 设 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 是 [tex=0.643x1.0]jro2X/cRz2SsmjZvcOdvsQ==[/tex] 到 [tex=0.714x1.0]X6uqj1A7AQmRFBpFsTbZTg==[/tex] 的一个线性映射, [tex=0.929x1.0]GTnOCR9hNPsOuxGSyBGTAE4D+bwdNZdKWKqAkIkho7A=[/tex] 是 [tex=0.714x1.0]X6uqj1A7AQmRFBpFsTbZTg==[/tex] 到 [tex=1.0x1.0]97Y4VMFIqE7cl6MEqnCpuw==[/tex] 的一个线性映射. 证明：[tex=20.214x1.357]FS7OZA/QB7C+VSLfh3qSHml3J36eT1fzanRn2SPZBMlHDoWfXsVTxEupwatQ872w+Ry/E91iqo1QY70oD5KrHZyAY7bKxHTCEAxrEKkuuwY9EXVhpfvislmuWyvh/1DwDmCNGltUOf+1rsBXVUVDsfQHUY808wP0MujXrZPcRDAqB/B6oy8bKuIeYNa1pjcyidih+u0c8/G1wWH/PlqGyepKB/xPHAVMzoXlLfDbh53N6KijN8t4FbNLPDXKXBai[/tex]