矩阵[tex=7.929x3.643]Z2qp1YWezAV2/e0mJyFSL7+05Gc7WldNFAOyf5LTpEwf3++hHHumNZgxNRXRBsVb2m+89a7Akczd7Dj82ui96Kw/sNoq14y+DHkid37CWl29wnux3xrOQN02hnXp5S2k[/tex]，计算[tex=0.571x0.786]c59+3vo0/Vn/FvNRhDRu5g==[/tex]的行列式和逆矩阵。

设[tex=7.929x3.643]K2vMsZ5TBuB8kq2pfBmYYK0HtN3Tu4oFGLzIHYqTI+/rzTaDHovifSD77P/CKZDpryXtHxvu9tGia5uXK7mVGjYJL1iIFRCAMUaaklgQV7XleUBWNDEXpjOqUOTkssbN[/tex]，已知[tex=8.071x1.286]AqfXPb/GY0ajUQQb2DhL8tYqCUzfn3zxj3BKfpzCyVBvZ2UwlwQsiI/I2Vc4TrTZ[/tex]，求[tex=1.429x1.286]x6SZc2OF9U7uDNYhX0n6cA==[/tex]应该满足的关系 . 

设[tex=0.571x0.786]7G1MINzwputr5mgALyjQfA==[/tex]，[tex=0.429x1.0]JThLUuJ8WswSAPiYZWihWg==[/tex]，[tex=1.857x1.071]IVJbH5KCDVl1MS/IBctehw==[/tex]。令[tex=7.929x3.643]K2vMsZ5TBuB8kq2pfBmYYN6GRwFOgCbBiQIindxy5RTGHXR1W/PJCfFAYP+j2KZ4I2dtG0FnnxXbpqphCafcpm160e7qqExxstMyDwxQqnCg+SOzXVejTL8DsNksEZT8[/tex]，[tex=7.929x3.643]DgXZT9CtCPAglTYwc4pEdTXNOZdn4qF56IShvYcFGIEpX0cE9CbpqOAuOJp8xEjS6ZpfJ+1GVdl4FHUFxf8pjZ8JAEGZrAd4PlRL/XHMYCah5myN5plqL1iPncMfXh+4[/tex]，[tex=7.857x3.643]Nw/iCPiBfAazOGg7nvEajlj4bNjQQmXE+6aM+jtGP1c4bNwD4t/pAqa1xRsN1IK0A6H6HCEjUA0ydSXe4NjBUhJvqY4hUIyxYeDC1CexGMOv4UeN7EpdUJussKvtA5Kk[/tex](i) 证明，[tex=0.786x1.0]kEam2pLJe4uAYVdcny2W5g==[/tex]，[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]，[tex=0.714x1.0]9fIXCQOmrgOp2L5B47vYUQ==[/tex]彼此相似 ;(ii) 如果[tex=3.786x1.0]vWvSFazBYvmc3SSYreo4Mw==[/tex]，那么[tex=0.786x1.0]kEam2pLJe4uAYVdcny2W5g==[/tex]，[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]，[tex=0.714x1.0]9fIXCQOmrgOp2L5B47vYUQ==[/tex]的特征根至少有两个等于零。

下列变量组（）是一个闭回路。 A: {x，x，x，x，x，x} B: {x，x，x，x，x} C: {x，x，x，x，x，x} D: {x，x，x，x，x，x}

以下谓词蕴含式正确的是（）: (∀x) (A(x)→B(x))=>( ∀x)A(x)→(∀x)B(x)|(∀x) (A(x)↔B(x))=>( ∀x)A(x)↔(∀x)B(x)|(∀x)A(x)∨(∀x)B(x)=>( ∀x) (A(x)∨B(x))|(∃x) (A(x)∧B(x))=>(∃x)A(x)∧(∃x)B(x)

以下谓词蕴含式正确的是（）: (?x) (A(x)→B(x))=>( ?x)A(x)→(?x)B(x)|(?x) (A(x)?B(x))=>( ?x)A(x)?(?x)B(x)|(?x)A(x)∨(?x)B(x)=>( ?x) (A(x)∨B(x))|(?x) (A(x)∧B(x))=>(?x)A(x)∧(?x)B(x)

下列式中错误的是： A: (∀x)(A(x)Úp(x)) Û (∀x)A(x)Ú (∀x)p(x) B: ($x)A(x) Ù p Û ($x)(A(x) Ù p ) C: (∀x)(A(x)ÚB(x)) Þ (∀x)A(x)Ú( ∀x)B(x) D: ($x)(A(x)ÙB(x)) Þ ($x)A(x)Ù( $x)B(x)

判断下列推证是否正确。 (∀x)(A(x)→B(x))⇔(∀x)(￢A(x)∨B(x)) ⇔(∀x)￢( A(x)∧￢B(x) ) ⇔￢(∃x) ( A(x)∧￢B(x) ) ⇔￢( (∃x)A(x)∧(∃x)￢B(x) ) ⇔￢(∃x)A(x)∨￢(∃x)￢B(x) ⇔￢(∃x)A(x)∨(∀x)B(x) ⇔(∃x)A(x)→(∀x)B(x)

下列矩阵中与矩阵 [tex=7.786x3.5]QN0fTQbn6M33pU3gx/S2slUv+QIAEV/W1i1RUgTPCJQLLyrVlJGalC71WxORXy0XCHC3w3ZVboqqnws7LgXYB9Mr0IfBkk/TgTBkArX3na0CQ/CUA0e4a1gcdXI645Ua[/tex] 同秩的矩阵是 未知类型：{'options': ['\xa0[tex=4.286x1.357]6JrLYbugMrNdjm4djvUVltzpp7tocXuZbwxiW+xtI6M=[/tex]', '\xa0[tex=6.786x2.786]jcCMHflCR8OS9TosV6N5vL1vsFZ0aGk2lqsiLJsuvcmHeo0ckev3R53QgKPW95B5wqDX6+7C/+SlqEMQjwIIS6O7VgzwsKPoN8z53XQmYFg=[/tex]', '[tex=7.929x3.643]jcCMHflCR8OS9TosV6N5vJxuvcwA6RsQkGsQGF8yZEo9yOvo4uoULMm4ddzOwhjJItUseLlxu41UITIYX9Azv5nsj4tRsrKoJ7aZWI/Gzv8dhjB5iTkjmG47/5Qxm/Vu[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vFSsIzqeys4xUoqEXwYE8JDfwXSC75CzzvZyopkflxGXDx6I2eRmjWw89fu/HykyewHfP6T28jDmRwyhU7UUwEKBDvc+poulf4ey1RbiPdqI[/tex]'], 'type': 102}

下列矩阵中与矩阵 [tex=7.786x3.5]QN0fTQbn6M33pU3gx/S2slUv+QIAEV/W1i1RUgTPCJQLLyrVlJGalC71WxORXy0XCHC3w3ZVboqqnws7LgXYB9Mr0IfBkk/TgTBkArX3na0CQ/CUA0e4a1gcdXI645Ua[/tex] 同秩的矩阵是 未知类型：{'options': ['\xa0[tex=4.286x1.357]6JrLYbugMrNdjm4djvUVltzpp7tocXuZbwxiW+xtI6M=[/tex]', '\xa0[tex=6.786x2.786]jcCMHflCR8OS9TosV6N5vL1vsFZ0aGk2lqsiLJsuvcmHeo0ckev3R53QgKPW95B5wqDX6+7C/+SlqEMQjwIIS6O7VgzwsKPoN8z53XQmYFg=[/tex]', '[tex=7.929x3.643]jcCMHflCR8OS9TosV6N5vJxuvcwA6RsQkGsQGF8yZEo9yOvo4uoULMm4ddzOwhjJItUseLlxu41UITIYX9Azv5nsj4tRsrKoJ7aZWI/Gzv8dhjB5iTkjmG47/5Qxm/Vu[/tex]', '[tex=6.929x3.643]jcCMHflCR8OS9TosV6N5vFSsIzqeys4xUoqEXwYE8JDfwXSC75CzzvZyopkflxGXDx6I2eRmjWw89fu/HykyewHfP6T28jDmRwyhU7UUwEKBDvc+poulf4ey1RbiPdqI[/tex]'], 'type': 102}