利用施密特正交化方法，试由向量组[tex=5.643x1.5]spsZ+rMIOMiqBxP/ZoH2F8DJTKnMG2tFqmNYbv87xdjHxwWBuHkB89tv2YZIrVXd[/tex]，[tex=5.643x1.5]spsZ+rMIOMiqBxP/ZoH2FzuS+sLFZBUhTXxdS9ssWxLD2HZfBohNqwx2hH5TIuki[/tex]，[tex=5.643x1.5]spsZ+rMIOMiqBxP/ZoH2FzYz4+Z6GRmmRPLTSJPGngFVfFPEhk8tBhvTpybXnTwj[/tex]构造一组规范正交基．
举一反三
- 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．
- 用施密特正交化方法把下列向量组标准正交化:[tex=17.929x3.643]spsZ+rMIOMiqBxP/ZoH2F2y3Q9X18LN9v4wmuMzCffS5Vc0ofl9qvMHeezXiONkXB8nGLbFqXHhVZak8iXxxZChLw4asPdgjSjllPT8bSE1NVt/HB7Khbng8B6yoyp+kDTtzvRtHzm3dZQJm62QIpN5rqI332i+GmzCtwKHWLrLgiYda3djnXrzzSzRGfF2fvru0CetA9F1QgEkChVIwuSu4fA5OpIc2ySAe2mEi3+Vhuo5EdPRIYaAUgX5fryFhvfqR+GKvKTUxwy/g7AfoAAlKQWjfQOrolspQ5pPz7ylP6U8jAEiBWhVBUouxYufV[/tex]
- 用施密特正交化方法把下列向量组标准正交化:[tex=11.0x2.786]spsZ+rMIOMiqBxP/ZoH2F2y3Q9X18LN9v4wmuMzCffS5Vc0ofl9qvMHeezXiONkXAOSObbylb/vEieiYrUjO81Bojd68ntMY3LRg4skilT+v4VpeSqt/+tpuO8prZzGU4L2MOfGVd7gvj8NnP8nb0FM2UdGr08bvgdLPsHYA6MUk1dcKFVnWqf/E8zYpzafCJDXdkT1Ppo2IOXa27QTfpg==[/tex]
- 给定向量组 [tex=5.786x1.0]spsZ+rMIOMiqBxP/ZoH2FwZfpjpMa8yyishLmJ54xHG8AZTASVlkJ08hVkWA2NiNBIazwKyqAvuKuneN4z3DrZHz3E/QnslgupQMek94C2xenjlUkzmA+m3IWuPjkJUlYmntNcmdcAOej6kavvMFDQ==[/tex], 试判定 [tex=4.286x1.0]spsZ+rMIOMiqBxP/ZoH2FwZfpjpMa8yyishLmJ54xHG8AZTASVlkJ08hVkWA2NiNBIazwKyqAvuKuneN4z3DrWhfdN8VXI6DbC98ejmhFVs=[/tex]是一个极大无关组，并将 [tex=1.143x1.0]spsZ+rMIOMiqBxP/ZoH2FxD+XO8gT46J4K60j6LjCVM=[/tex]由 [tex=4.286x1.0]spsZ+rMIOMiqBxP/ZoH2FwZfpjpMa8yyishLmJ54xHG8AZTASVlkJ08hVkWA2NiNBIazwKyqAvuKuneN4z3DrWhfdN8VXI6DbC98ejmhFVs=[/tex] 线性表示：[tex=16.929x3.071]tOuhNvizKyRZPn+XCdGxL6dbNGKzH9GSMkHoE1aX/I5E4wMlnlHQiyuULgtV0e5uMbPX3yKPONEolz6z1dUL1fqxh+ftaklu7p5azbVYvf3JL+27442OG+Fmwy5e2mpuM1W6hEQHXiObuaF/7KygrDjwiM3wPIhiqwQxbPIEAmtLcfye8IoDSuFNW/8fKFgGt6UdRnPHqxgrJcuw0Hw/eHF8PPFUtp88aY5mzIJUDWrAZDxwAa+2+yFyUsXeYdov[/tex]
- 在[tex=1.143x1.214]eAQo6GdrWeIAllUf5EVrqJy2ynf9dzuN0QK+rzoUrJo=[/tex]中求出与[tex=5.5x1.357]spsZ+rMIOMiqBxP/ZoH2F9Gz2yBAsbSctxvgXwuzqHI=[/tex]正交的向量组.