The statement is true. Suppose V is a real vector space. A subset of V is equal

Question

The statement is true. Suppose V is a real vector space. A subset of V is equal to its span if and only if the subset contains infinitely many vectors. If m and n are positive integers, then M_m times n(R) is a vector space. The set of points in R^2 that is either on the line 2x - 3y = 0or the parabola y = x^2 is a subspace of R^2. The zero vector is a linear combination of any set of vectors in a vector space. The span of the empty set is the empty set. When solving a system of linear equations, it is permissible to multiply any equation by any real number. Every system of linear equations has a solution. It is possible to find 2 functions p, q P_2(R) so that the span of {p, q} is P_2(R). It is possible to find 3 functions p, q, r P_3(R) so that the span of {p, q, r} is P_3 (R). The zero vector in P(R) is a function.

Explanation / Answer

statement 2 ,

statement 4

statement 5

statement 6

is correct

and other statement is incorrect

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