#Q3 Let K be a field and F is a subfield of K, then what should be the external composition between F and K such that K forms vector space over F.

#Q4 Which of the following statement is/are true if (R,+,∙) be a ring and F < R and (F,+,∙) is a field and external composition is same as multiplication in R

#Q5 Let V={f│f:R→R} over R. Then which of the following is not a subspace of V over R

#Q6 Which of the following is/are not a subspace of V={f:f:[a,b]→R} over R

#Q7 Let C[x]={P(x)| P(x) is a polynomial with coefficient from field F} . For which of the following F,C[x] is not a vector space of infinite dimension.

#Q8 Which of the following is/are subspaces of C(R).

#Q9 Which of the following is true for S=set of all polynomials p(x) with degree less equal &∫_(-1) [p (x)dx=0]

#Q10 Consider Z[√p]={a+b√p,a,b∈Z} where p is a prime. Then

#Q1 Which of the following is not a vector space?

#Q2 Let V be the (real) vector space of all functions defined from R to R then which of all following set of functions are subspace of V.

#Q3 Let V be a vector space over field f then which of the following is correct.

#Q4 Let V be a vector Space of all 3×3 matrix and W Consist of all 3×3 matrices with zero determinant

#Q5 Which of the following are true?

#Q6 The necessary and sufficient condition for a nonempty subset W of a vector space V(F) to be a subspace is/are-

#Q7 Let V be real Vector space of all mapping from R to R { f ∈V | f( -x)=f( x)}(b) { f ∈V |f (-x)=-f( x) } then

#Q8 Let V=R³ and w= {x,y,z ∈ V|4x-2y+z=0} then which of the following is not true

#Q9 If S1 and S2 are subspaces of linear space L then

#Q10 V be vector space of all 2×2 matrices over R and S be the set of idempotent matrices then.