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  3. (a) prove that if v_1,v_2,v_3 is a basis for r^3,

(a) Prove that if v_1,v_2,v_3 is a basis for R^3, then so is u_1, u_2, u_3...

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Advance Math

(a) Prove that if v_1,v_2,v_3 is a basis for R^3, then so isu_1, u_2, u_3 where u_1=v_1, u_2=v_1+v_2, and u_3=v_1+v_2+v_3.

(b) State a generalization of the result in part (a).

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