工程数学线性代数课后题答案第五版VIP免费

第三章 矩阵的初等变换与线性方程组 1 把下列矩阵化为行最简形矩阵 (1)340313021201 解 340313021201(下一步 r2(2)r1 r3(3)r1 ) ~020031001201(下一步 r2 (1) r3 (2) ) ~010031001201(下一步 r3r2 ) ~300031001201(下一步 r3 3 ) ~100031001201(下一步 r23r3 ) ~100001001201(下一步 r1(2)r2 r1r3 ) ~100001000001 (2)174034301320 解 174034301320(下一步 r22(3)r1 r3(2)r1 ) ~310031001320(下一步 r3r2 r13r2 ) ~0000310010020(下一步 r12 ) ~000031005010 (3)12433023221453334311 解 12433023221453334311(下一步 r23r1 r32r1 r43r1 ) ~1010500663008840034311(下一步 r2(4) r3(3)  r4(5) ) ~22100221002210034311(下一步 r13r2 r3r2 r4r2 ) ~00000000002210032011 (4)34732038234202173132 解 34732038234202173132(下一步 r12r2 r33r2 r42r2 ) ~1187701298804202111110(下一步 r22r1 r38r1 r47r1 ) ~41000410002020111110(下一步 r1r2 r2(1) r4r3 ) ~00000410001111020201(下一步 r2r3 ) ~00000410003011020201 2 设987654321100010101100001010A 求 A 解 100001010是初等矩阵 E(1 2) 其逆矩阵就是其本身 100010101是初等矩阵 E(1 2(1)) 其逆矩阵是 E(1 2(1)) ...