判断向量组是线性相关还是线性无关：[tex=3.714x1.286]xqlel/HCgK1tZxyh1eSWprm2+Yt21/s5QLPjA75IqJw=[/tex]，[tex=4.429x1.286]emJOMAMxvsQ4IV4UcjTmUu5p6L1XMcc5/tnYsd4ZtUc=[/tex]，[tex=3.714x1.286]JEOwHPjy72SimpV+AnAuJi6fQDvpqYigph14ArvJ/k8=[/tex]。
举一反三
- 判断向量组是线性相关还是线性无关：[tex=4.429x1.286]VItCklRadrTJ0RgBD1YvDek3C10OuHXPuE5m0Qv2V2c=[/tex]，[tex=3.714x1.286]M21hAiHAbSDOZEThH5M8t3SThrc7lWMvNX+LBDjiHH8=[/tex]，[tex=3.714x1.286]GFoBFHyE1SJRifYmXFCf2/wBZKl91eafbfQSPQkulW8=[/tex]。
- 判定下列向量组是线性相关还是线性无关:(1) [tex=4.429x1.286]SF6kHiRmW/Hj+PCFOvIOOdsKHqYk4zo1jchOcNueEYc=[/tex], [tex=3.714x1.286]wMbHkFUbUYTlhU/xngsbWX8RsNRWWQr7sYVu4MUX8bc=[/tex], [tex=3.714x1.286]QvyLISpZlkKFSHXzIn+l7iLILFXfVDvu1mLLfQEY/kI=[/tex];(2) [tex=3.714x1.286]OBxHLI4QOSQUoKdYP9WLyBITGenMqFJXJTFHzhLGKNc=[/tex], [tex=4.429x1.286]YwM4SDuGSWsNv7UsPLau8r/K1g6eT/HdTuYT8QX5vL8=[/tex], [tex=3.714x1.286]uRLzxwa9c3x7kI6F7xD0iZDCEjLQGVjwKMS8gK2ioCk=[/tex].
- 设有向量组[tex=8.071x1.214]Mdl5SvJLPWwKArgK4Ta6j3l7EaXa+zhJXo0rPe0F/fLHhrYOFnnWnQKmBtyXiEqBbljE4xNvGj0KKJpF/wCa9Jqzol6QqJ+jQIfh4xKmXNjLM2WgDkUXj9CtB5g71A74[/tex]，证明(1)[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]的任何部分组线性相关，则整体组线性相关；(2)向量组[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]线性相关，则[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]的任何部分组线性无关．
- 判定下列向量组线性相关还是线性无关：[tex=6.786x1.286]4xEouq71gK5owJdgbe2M4f0jTauCj18kO2+AFMtKWNA=[/tex]，[tex=6.786x1.286]gRscLzkfrOEe8e8tV1l+SYQzMQRvgsWIaEYY9DFijcQ=[/tex]，[tex=6.786x1.286]gMqdGC7+qwUYvwOTHmtPEmASI+VOoKKtOvo8BiEbisw=[/tex]
- 判断下列向量组是线性相关．还是线性无关?[br][/br][tex=22.214x1.5]p9Sj0YfnEubFnBRazUvUhhfyBr6XrD+pIRpwRetLTw2vzwj1YZ0Gixqb6SVQJl+1cwu43fAkyViMMldtwb4R1JJn7PSN8R5NqD78NGbHenHk/oBI1BM5LIr3QHrsuqZC[/tex]