Define basis of a vector space that the vectors (1,2,1),(2,1,0) and (1,-1,2) form a basis of R^3(R).

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Show that the vectors (1,1,1) (1,0,1) and (1,-1,1) of R^3 form a basis of R^3(R).Show that the vectors (1,1,1) (1,0,1) and (1,-1,1) of R^3 form a basis of R^3(R).
show that the vectors (1,2,1),(2,1,0),(1,-1,2) form a basis of R³.show that the vectors (1,2,1),(2,1,0),(1,-1,2) form a basis of R³.