求此齐次线性方程组的解空间的维数和一组基：[tex=12.929x5.214]GE56u9QCDTqcLxZ66HADyjJiEdC+WzN+E7rRFVulsHzwEGCZlvBTDhubyqWgym2tUklBOU7Ax86AZIS23og3Cx7fipr4HxLQENiGaJzcZri/yvEYSZDLrJweVwvWq/HoqiQHHFwX9jlu1yFo2GrQw78zE9sK+X4dhfwxrsVeCH32CXlFk+dwbX6TnrtsV4bnSeX82gk2RgJsU/5rHSTyBQHgzOYie7ibtKb2TflGEvBCHQf4oUgZo4PLyy1v9qQBUXGyIGkfgFIm915I2/FG/H9q4AJorDlWs6xFyDZp9Eo=[/tex]

2022-06-05

求此齐次线性方程组的解空间的维数和一组基：[tex=12.929x5.214]GE56u9QCDTqcLxZ66HADyjJiEdC+WzN+E7rRFVulsHzwEGCZlvBTDhubyqWgym2tUklBOU7Ax86AZIS23og3Cx7fipr4HxLQENiGaJzcZri/yvEYSZDLrJweVwvWq/HoqiQHHFwX9jlu1yFo2GrQw78zE9sK+X4dhfwxrsVeCH32CXlFk+dwbX6TnrtsV4bnSeX82gk2RgJsU/5rHSTyBQHgzOYie7ibtKb2TflGEvBCHQf4oUgZo4PLyy1v9qQBUXGyIGkfgFIm915I2/FG/H9q4AJorDlWs6xFyDZp9Eo=[/tex]

答案：

[tex=12.0x4.929]De166nmeTkb4C/83+ZZH2xowiVvSnxxjJqpkGFGlbWWgHzL/g6Fjpu1kdPIV+/0We8RTuPN4E9KGiISq3BtalfqRWnohO/t7uqDPCGE5ER4eZLFQrAom5bNUe2dEjtPm2znKCci0hM1RlrM7w2gq/Gfj4BpuomR2I0QLlp4Kt7Vgt9oXstj/c30RIo801lDl[/tex][tex=5.643x1.929]6FT2zY4gxDjC5Scc68eMMNt7PZud5fbnZpkfeTu3ljdRPvUkDgreZIOmdocJfpmIP+c52SU/YwEM8S6DsDhsVDtk6NIFVdIrP9Lp6YdhiDOAdFX2wsH/H0b9t9wDlISbwHYTnPaWb7mT0EvnxS113YYsV8v02suvdkNJT9F7zKk=[/tex][tex=12.0x4.929]De166nmeTkb4C/83+ZZH2xowiVvSnxxjJqpkGFGlbWWgHzL/g6Fjpu1kdPIV+/0WOCHrDTVSoS4aZ1ryuUHlHue/5S01blYUKsrgqIkvcOiKRddkxueZAJuPGlce9VdIfez3EkIE+CDLkchgUnViOwW7qLGzY6ctQbHYzMsNeC/VqkdiT9DC4SEfG4GMMPFf[/tex]，因此方程组的解为[tex=4.143x6.357]GE56u9QCDTqcLxZ66HADyjJiEdC+WzN+E7rRFVulsHySPSymMWVadlgrmw4u2zHcjgET3jj8pf/zb2VYFs+u4spr5UP/MPXyg9O9zpRSbjz0Nud2oJifMSn4lUCsj/vkRePwt4anKnLNEf0PEq4CTg==[/tex]([tex=0.357x1.286]tv9NEQGfxmSBsvmqN3/Q7Q==[/tex]任意取值），向量形式为[tex=5.0x5.786]RPmWIQpCxLTE4YA27YWRcVJ0cRug3pXK1Qkx1M61ETnwFiusmF1VujWbQ3Ru4PPHAFD7tj3PcGaSJsvbl29yXYknBeOIUnqzZWCDxAiS+pw=[/tex]([tex=0.357x1.286]tv9NEQGfxmSBsvmqN3/Q7Q==[/tex]任意取值）。所以该解空间的一组基为[tex=9.929x1.714]De166nmeTkb4C/83+ZZH2yRkEDcKB3bTOw96rzzmjtQ9afvucdvoHCfanjlw0HFNBQp6e4GDlw/1x7nhSlJf+tU++njmV5ji5ySUv+oxmrw=[/tex]，维数为1。

举一反三

内容

0
求此齐次线性方程组的解空间的维数和一组基：[tex=12.929x5.214]GE56u9QCDTqcLxZ66HADyjJiEdC+WzN+E7rRFVulsHzwEGCZlvBTDhubyqWgym2tUklBOU7Ax86AZIS23og3Cx7fipr4HxLQENiGaJzcZri/yvEYSZDLrJweVwvWq/HoqiQHHFwX9jlu1yFo2GrQw78zE9sK+X4dhfwxrsVeCH32CXlFk+dwbX6TnrtsV4bnSeX82gk2RgJsU/5rHSTyBQHgzOYie7ibtKb2TflGEvBCHQf4oUgZo4PLyy1v9qQBUXGyIGkfgFIm915I2/FG/H9q4AJorDlWs6xFyDZp9Eo=[/tex]
1
输出九九乘法表。 1*1=1 2*1=2 2*2=4 3*1=3 3*2=6 3*3=9 4*1=4 4*2=8 4*3=12 4*4=16 5*1=5 5*2=10 5*3=15 5*4=20 5*5=25 6*1=6 6*2=12 6*3=18 6*4=24 6*5=30 6*6=36 7*1=7 7*2=14 7*3=21 7*4=28 7*5=35 7*6=42 7*7=49 8*1=8 8*2=16 8*3=24 8*4=32 8*5=40 8*6=48 8*7=56 8*8=64 9*1=9
2
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3
>>>x= [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9]>>>print(x.sort()) 语句运行结果正确的是( )。 A: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] B: [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9] C: [10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0] D: ['2', '4', '0', '6', '10', '7', '8', '3', '9', '1', '5']
4
【单选题】下列选项中，不可能是快速排序第2趟排序结果的是()。 A. {2, 3, 5, 4, 6, 7, 9} B. {2, 7, 5, 6, 4, 3, 9} C. {3, 2, 5, 4, 7, 6, 9} D. {4, 2, 3, 5, 7, 6, 9}