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线性代数(中国商业出版社)课后习题详解习题三(A)1.用消元法解下列线性方程组:
2x1x2x32x13x2x35(1)x1x25x372x13x23x314
x12x2x3x41(3)x12x2x3x41x2xx5x523415x1x22x3x47(2)2x1x24x32x41x3x6x5x02341
x12x2x41x13x2x32x43(4)x1x23x3x412x13x27x33x442x14x25x33x40(6)3x16x24x32x404x8x17x11x02341
x1x2x3x4x503x12x2x3x43x50(5)x22x32x46x505x14x22x33x4x50
21解:1131123
2111513→5721314231
711515024→1201931401135
7115712011328→160012280000
71251212)21421→001365000
1
100005022→0716121∴无解0661365011261121002→00011000006
11211211312111→000121-50000
x12c1c2xc21x3c2x41
11412011131230→13110373402
1111112→332277562
f120111200111→000140000280
02011000
12014000
x112cx2c2x3cx44
135)0510001214111122231130→60101111111226→226326
11
11110260→0100000000
0115112601000000
x1c15c2x2c6c122(c1c2均为任意常数)x30xc41x5c2
26)34
46r
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