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Let A1 = (2,1,3) A2 = (1,2,0), A3 = (- 1,1,0) prove that the vector group a1a2a3 is independent
A1 ^ t, A2 ^ t, A3 ^ t, A4 ^ T1 2 1 400 1 12 10 31 - 1 1 1r4-r1, r3-2r1 get 1 2 1 400 1 10 - 3 - 2 - 50 - 3 0 - 3 r4-r3 get 1 2 1 400 1 10 - 3 - 2 - 50 2 2r2 get 1 2 1 400 1 10 - 3 - 2 - 50 0 2 2r3 get 1 2 1 40 - 3 - 2 - 50 0 1
Let A1, A2 and A3 be linearly independent, then
(A) a1-a2,a2-a3,a3-a1 (B) a1+a2,a2+a3,a3+a1 (C) a1-2a2,a2-2a3,a3-2a1 (D) a1+2a2,a2+2a3,a3+2a
I want to ask why (B1, B2, B3) = (A1, A2, A3) k, K is a square matrix of order 3 [when detk is 0], (a) is linear correlation
This is a common conclusion: if C = AB and a column is full rank, then R (c) = R (b)
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