Let the vector group α_1, α_2, α_3 be a basis of R^3;

匿名用户 最后更新于 2021-10-04 17:33 数学类Mathematics

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Let the vector group a1, az, a3 be basis of R3B1=2a1+2ka3,B2=2a2,B3=a1+(k+1)a3, (1)Prove that the vector groups B1, B2, B3 are a basis of R3; (2)When k is of any value, there exists non-zero vector which has the same coordinates with the basis a1, a2, a3 and B1, B2, B3 and find all 5.


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