已知 [tex=2.071x1.286]Lw1m7LuL1SjurX1WRZuPUg==[/tex] 为3阶矩阵,且满足 [tex=7.714x1.286]ThWWPhndKkz3UClWdkawSBreeT7S5i5PvnTbUSWKYOOv9U2rV7yWwLvdAXkYzsfH[/tex],其中 [tex=0.786x1.286]KdMX/vrMoFuyctoWaUWH8w==[/tex] 是3阶单位矩阵。(I) 证明:矩阵 [tex=3.286x1.286]7/dUziihQFEuopQUmAB3jtRjn7Bmun7c4UQbytj87b8=[/tex] 可逆;(II) 若 [tex=7.571x4.786]174MZEe/izWSafpCRvJbd3cQKHCzrrjGGKpSfjzsHHVXpVP4uwNKwm6JKWYSK3g5xlXwIaRNk+2zOOmSaTeVcClZXyEuVtudF/ZEztSsKpA=[/tex],求矩阵 [tex=0.857x1.286]BQkHOimMmPUuGqQUunHC8A==[/tex]。(本题满分6分)
已知 [tex=2.071x1.286]Lw1m7LuL1SjurX1WRZuPUg==[/tex] 为3阶矩阵,且满足 [tex=7.714x1.286]ThWWPhndKkz3UClWdkawSBreeT7S5i5PvnTbUSWKYOOv9U2rV7yWwLvdAXkYzsfH[/tex],其中 [tex=0.786x1.286]KdMX/vrMoFuyctoWaUWH8w==[/tex] 是3阶单位矩阵。(I) 证明:矩阵 [tex=3.286x1.286]7/dUziihQFEuopQUmAB3jtRjn7Bmun7c4UQbytj87b8=[/tex] 可逆;(II) 若 [tex=7.571x4.786]174MZEe/izWSafpCRvJbd3cQKHCzrrjGGKpSfjzsHHVXpVP4uwNKwm6JKWYSK3g5xlXwIaRNk+2zOOmSaTeVcClZXyEuVtudF/ZEztSsKpA=[/tex],求矩阵 [tex=0.857x1.286]BQkHOimMmPUuGqQUunHC8A==[/tex]。(本题满分6分)
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