计算下列各行列式(D.为k阶行列式):[tex=9.857x4.071]Mq/4/6eufAI//bgoAAY9YC3It8WAnUaQJ7DsLjdmSB9CAwHxFbKaJoV5TjkXsbvd935pfkYJAVYycK9shaUWWyLKtSRRXENL4s0wsrRik3NqklgsQq77ZEHNuQebzlvndOwaNvwjIzmrwC1JloFaOH6h6kym+n1zsTJGVLExPgF5MvlrlIBRlU6rpdVLkDSf[/tex]

设[tex=9.857x4.071]w70lG1NUs5ZRhKHaXMaifahNYA2l55OVx/YI5vl5IU5N/AgS8Q49YXR0znVMu8toIwdZA5/L695uyg1eMsQouIFvQzvuf9idKGOlhnJmk0AfQu60ZEu8vV9Hc+WObaoZ[/tex]，求[tex=3.571x1.286]I25EwhoNS80XrVc5ocH4aQ==[/tex]，[tex=4.214x1.286]lxcqgScMtemOzlXJF/zD4qlK+OAWQv0Hx3AJaNQuAO0=[/tex]。

计算下列行列式([tex=1.214x1.214]gf5bleL7HqfR1pvhdumXpw==[/tex]为k阶行列式):[tex=9.857x4.071]Mq/4/6eufAI//bgoAAY9YC3It8WAnUaQJ7DsLjdmSB9CAwHxFbKaJoV5TjkXsbvd935pfkYJAVYycK9shaUWWyLKtSRRXENL4s0wsrRik3NhynhOYlDF1GOb0Eu0orclxdZGxruvUg6bbKulR/pPO46VFpJhOVqgjCQdAjjSjqljN7N0LC8HAA6XdPariy1i87yxneL3UgMbazfECGRAdQ==[/tex]

设有线性代数方程组[tex=9.857x4.071]fnpmC2J6JmQBLyo5NmGAz6gWLuq+FZ9Xy1vv/z0EnbNdxs7CTt5yvdwe7yizgC1t1dADxJ9DomvKAz+FZx5yxApnMIedRhW4Q7kBC3QhTTXvKfG0UpzxPxAk/AsjxwdpRCZDNgrKURqZzk//NV4u4AfOQYpbOac9KC94T3ib6Qc=[/tex]（1）判断雅可比迭代的收敛性；（2）判断高斯-赛德尔迭代的收敛性。[br][/br]

给定 [tex=1.714x1.0]TNJMXIaFlbwW4RSZ6ggDPg==[/tex]  问题如下[tex=9.857x4.071]7EJHVCtO2IWq3KpdB+jQssNr5UcuZ+x7HqvDmGnOWd6/4bwi8urRf5tPCTj5t9vx0vALrq+zFg/P/O4HVljJv7iw0OkTQToZ1AQoreCoceGGT/LiZEn6SJLLXOPvv4TIVataqnnc6V8vdaGLjXT2HNSOAwkmcAw2akVrJCTYg2vZCjlAavpRlOXZUsi58J/L[/tex]其中 [tex=5.429x1.214]/xCDrlzTKh3eUNM8C16S8xLV4nga/yGe1rds4lFUPQCORLdxBw6nA1d2OPDxNe/1[/tex] 且为整数. 用图解法求出该 [tex=1.714x1.0]TNJMXIaFlbwW4RSZ6ggDPg==[/tex]  问题的所有可行解及最优解与最优值.

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)