利用施密特正交化方法，把向量组[tex=6.571x1.5]spsZ+rMIOMiqBxP/ZoH2F5pmgmRcr8NdJc2GP6zS3yzzKHOqylFMCj9axZ43JQYl[/tex]，[tex=8.143x1.5]spsZ+rMIOMiqBxP/ZoH2F/jSaUEtfXUwSEYZFp9kjn5JDN5/PbM91EVL3ibkldKyVC4RfWkRz33WyJ8mMSshSg==[/tex]化为正交单位向量组．

2022-07-29

利用施密特正交化方法，把向量组[tex=6.571x1.5]spsZ+rMIOMiqBxP/ZoH2F5pmgmRcr8NdJc2GP6zS3yzzKHOqylFMCj9axZ43JQYl[/tex]，[tex=8.143x1.5]spsZ+rMIOMiqBxP/ZoH2F/jSaUEtfXUwSEYZFp9kjn5JDN5/PbM91EVL3ibkldKyVC4RfWkRz33WyJ8mMSshSg==[/tex]化为正交单位向量组．

答案：

解  先正交化，取[tex=6.714x4.5]Bon++APCFFqGDVhoG+r8OdAIgC+UDnqN749PW93V6JBoa4smDi9jaPHFBz7fBQHsVMFopHMFyrtyk7KAOWqqeSFxdpQPhMMe4TfuJPMu89IPo1zW1f7fekp1cHv41uk8w53gugyV6kbMPMzNjql2dQ==[/tex][tex=8.286x2.714]Bon++APCFFqGDVhoG+r8OUG7AYnxj321/d1E+Q1e6hzQ54JRnPwBSQsqZ2JxwAEGEWhcbq/3VVJ6aTJc9zI17NezZfL5BJXDcPw0X74CFiLUZem8RrfkrVE1ec+2ZWwsfxFSdsUfyKQHndNZYwSjceK/8NWkeF1nnGHoslN0TCNSdEj8Bs8y1YaKx2pjdLwye8odcjVLAAtwFJQTTiHW9LQr6Db8MVRVRgPUcs9wnpNdqkW8eyB+TqKshGZzbw/8q2DYKfNLbJHgFP/pdIjkJA==[/tex][tex=15.571x4.786]AL5+WEZvblQyz3RRDmLK0F1wU61CLflrikE1guRpbwjLam9MdHfcwEzBfkxBi5jlLJBo4es9vAlVj1FPVqiqFAc4Gbh6l7OkpgQ7s13EzvTnEoaWTy0lUEqcwVSHPCmQacphpZwrik7te5Nrrrmfovl2NkZAQ/+Mmdl1S8vZg4JgY6aYFGAQa6EMKEI2rJTvgafk0W3AU9MHKmXdSN0fmhanlGS9xu2psjLxA1xt/c2dl1VTMipNmDngsZhl9J4mlEqPMPDE2wlMe1ZzMPQS1Q==[/tex]再单位化，即得所求的正交单位向量组为[tex=8.857x2.643]bBakRGDp9Wm9Ui0uA8ZzXE0WqwKGlZVGRlMEIKyC7dgJ9pRgQECLj5Tb7ykIxKPc/wWRjDm1dEqmCxu6XARwMg==[/tex]，[tex=10.429x2.643]bBakRGDp9Wm9Ui0uA8ZzXHSw8mp5r6sEPPWjLMshM7Gs97GayoYHmFoyXPvu3rDt4KCH3mBaqCLVcVCX0QP/tMcHt7qfYI3ubmwkoENLkyU=[/tex]．

举一反三

内容

0
在[tex=1.143x1.214]eAQo6GdrWeIAllUf5EVrqJy2ynf9dzuN0QK+rzoUrJo=[/tex]中求出与.[tex=11.357x1.357]spsZ+rMIOMiqBxP/ZoH2FzX/9xjPRVTvrlFeU6vuR7Uoyo3v7DawpZWoPHAdcH8ZRIJlhqTveuUMSCtdorGIMQ==[/tex] 都正交的向量组.
1
已知 [tex=5.786x1.0]spsZ+rMIOMiqBxP/ZoH2FwZfpjpMa8yyishLmJ54xHG8AZTASVlkJ08hVkWA2NiNBIazwKyqAvuKuneN4z3DrZHz3E/QnslgupQMek94C2xenjlUkzmA+m3IWuPjkJUlYmntNcmdcAOej6kavvMFDQ==[/tex] 向量组线性无关,则下面向量组线性无关的是未知类型：{'options': ['[tex=15.143x1.143]spsZ+rMIOMiqBxP/ZoH2FxlM2xUFnc2Hj3bvu5m/mudB7whlOZ3wlKfslkPMfsOXUFyJMc2q3digbRlJdAr8rZljTcwD1LsTL5coe76XOgSZiyj49Y2T+9bvWkPhu+rKH2rl2Knnv3QEFvAoemvo2282/icESOtq3wmBhGb+BpzZKYrGelSc675myeSTpf2XG4/G5BUH76xegKrV+fGqvSdq7ttiv6cOWUPAGbDqQX35OlFEzCIIlG3nEaozQ36BwqpClOLNwj2kzEiir3cejg==[/tex]', '[tex=13.357x1.143]spsZ+rMIOMiqBxP/ZoH2F/VOxPOH5QMy8Q0uaj2AHmCOQhiltD7ENoiV0PkoHdPA/bo1dorMeUnUYaTxAFih/6u+Rp296HM27Fbv78ePOL91jUMTBWP5W64xHRwP9Gb7EyjzlLXkB/wGiIjy8JeJONyjq8EMlqqyx1/csodtaSV+MBfrBXhQOarlpTVUBAWCyOpj7EnVQHdlxUY2kr1cNv/rD9yP/3a6Jq9PoZ1krEVj6Rd565Jxx19Mupexa/5puh46MbZCrbAaTxtQz5ki0A==[/tex]', '[tex=14.286x1.143]spsZ+rMIOMiqBxP/ZoH2FxlM2xUFnc2Hj3bvu5m/mudB7whlOZ3wlKfslkPMfsOXUFyJMc2q3digbRlJdAr8rZljTcwD1LsTL5coe76XOgSZiyj49Y2T+9bvWkPhu+rKH2rl2Knnv3QEFvAoemvo21KbzqnFWBa5uEYKx4dniHKkbgH0RaI82hNcVEa3i/AbNnkOyPJLh065n5YniyHVM1703vR3VRQsOKJBYhpyeYLojeHCpHOeSBPxfmsTy0rzCHYLVMmaVXcbHzzJDuG+lw==[/tex]', '[tex=14.714x1.143]spsZ+rMIOMiqBxP/ZoH2FxlM2xUFnc2Hj3bvu5m/mudB7whlOZ3wlKfslkPMfsOXUFyJMc2q3digbRlJdAr8rZljTcwD1LsTL5coe76XOgSZiyj49Y2T+9bvWkPhu+rKH2rl2Knnv3QEFvAoemvo2282/icESOtq3wmBhGb+BpzZKYrGelSc675myeSTpf2XG4/G5BUH76xegKrV+fGqvWkcADqKch9+Ow83uzuGt031waWgwzEseYkCOCpIJLnJtNI2ytdv+EZ8JXhGTBy2BQ==[/tex]'], 'type': 102}
2
试用施密特正交化方法把下列列向量组正交化。（1）[tex=11.429x3.5]XijiX9U1p2zfOblnUt+T3XfPg9k0KgrpAUbRAf8a2KW486Ju1eAqcXqNuSXahjtp9Dg9HzPFh4QM/6ybVPyf99n4NErpNPc5NrArzUORYDo3CJ7XoAT9BFnhtE9wK4v4jGOy+F7ngtVUUGhskRKEwQ3UQm4o1/rR/BSn/osK80M=[/tex]
3
已知a=[1 2 3; 4 5 6; 7 8 9]，执行命令：a([3,1],:)=a([1,3],:)，a将变为（）。 A: [4 5 6;4 5 6;4 5 6] B: [7 8 9;4 5 6;1 2 3] C: [2 2 2;5 5 5;8 8 8] D: [3 2 1;6 5 4;9 8 7]
4
【计算题】5 ×8= 6×4= 7×7= 9×5= 2×3= 9 ×2= 8×9= 7×8= 5×5= 4×3= 5+8= 6 ×6= 3×7= 4×8= 9×3= 1 ×2= 9×9= 6×8= 8×0= 4×7=