设以下三个向量组\(S_{1}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3} \},\)\(S_{2}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}\},\)\(S_{3}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}\} \)的秩依次为\(3,3,4,\)则\(S={\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}-\alpha_{4} }\)的秩为______ 。
举一反三
- 设以下三个向量组\(S_{1}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3} \},\)\(S_{2}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}\},\)\(S_{3}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}\} \)的秩依次为\(3,3,4,\)则\(S={\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}-\alpha_{4} }\)的秩为______ 。
- 设以下三个向量组\(S_{1}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3} \},\)\(S_{2}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}\},\)\(S_{3}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}\} \)的秩依次为\(3,3,4,\)则\(S={\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}-\alpha_{4} }\)的秩为______ 。
- 设以下三个向量组\(S_{1}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3} \},\)\(S_{2}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}\},\)\(S_{3}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}\} \)的秩依次为\(3,3,4,\)则\(S={\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}-\alpha_{4} }\)的秩为______ 。
- 设以下三个向量组\(S_{1}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3} \},\)\(S_{2}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}\},\)\(S_{3}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}\} \)的秩依次为\(3,3,4,\)则\(S={\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}-\alpha_{4} }\)的秩为______ 。
- 设以下三个向量组\(S_{1}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3} \},\)\(S_{2}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{4}\},\)\(S_{3}\)=\(\{\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}\} \)的秩依次为\(3,3,4,\)则\(S={\alpha_{1},\alpha_{2},\alpha_{3},\alpha_{5}-\alpha_{4} }\)的秩为______ 。