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设向量组(Ⅰ):α 1 ,α 2 ,…,α s 的秩为r 1 ,向量组(Ⅱ):β 1 ,β 2 ,…,β s 的秩为r 2 ,且向量组(Ⅱ)可由向量组(Ⅰ)线性表示,则( ).
A.
α\r\n 1 \r\n+β\r\n 1 \r\n,α\r\n 2 \r\n+β\r\n 2 \r\n,…,α\r\n s \r\n+β\r\n s \r\n的秩为r\r\n 1 \r\n+r\r\n 2
B.
向量组α\r\n 1 \r\n一β\r\n 1 \r\n,α\r\n 2 \r\n一β\r\n 2 \r\n,…,α\r\n s \r\n一β\r\n s \r\n的秩为r\r\n 1 \r\n一r\r\n 2
C.
向量组α\r\n 1 \r\n,α\r\n 2 \r\n,…,α\r\n s \r\n,β\r\n 1 \r\n,β\r\n 2 \r\n,…,β\r\n s \r\n的秩为r\r\n 1 \r\n+r\r\n 2
D.
向量组α\r\n 1 \r\n,α\r\n 2 \r\n,…,α\r\n s \r\n,β\r\n 1 \r\n,β\r\n 2 \r\n,…,β\r\n s \r\n的秩为r\r\n 1