26. any set of ( 1) or more vectors of a finite dimensional vector space v () ol dimension n is: (a) always linearly dependent (b) always linearly independent (

26. Any set of ( 1) or more vectors of a finite dimensional vector space V () ol dimension n is: (A) always linearly dependent (B) always linearly independent (C) sometimes linearly dependent (D) None of these 27 Which of the following is not a basis of R' (R)? (A) {(1, 0, 1), (1, 1, 0), (0, 1, 1)) (B) ((1,0, 0), (0, 1, 0), (0, 0, 1)) (C) {(1,2, 1), (2, 1,0), (1,-1, 2)} (D) None of thesee 28. If U and W are subspaces of a finite dimensional vector space V (), then (A) dim (U+ W)- dim (U) + dim (W)- dim (U n W) (B) dim (U+ W) - dim (U) + dim (W) + dim (U n W) (C) dim (U+ W) - dim (U) + dim (W) (D) dim (U + W)= dim (U)- dim (W) + dim (U n W) 29. A subset B of a vector space V over F is called a basis of V, if: (A) B is linearly independent set only (B) B spans V only (C) B is lincarly independent set and spanning set (D) None of these

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