Consider the proposed norm on a vector space V as defined below. If it meets the definition of a norm, select true. If it is not a norm, select false. |vil = V where is an inner product on V. O True O FalseDetermine if the space described below is a subspace or not a subspace. The set of all vectors [x,y] in R2 such that y=x2. O Not a subspace SubspaceLet A be an n x n matrix. All of the following statements are equiva- lent except for one. Identify which statement is NOT true if the other statement are all true. (a) A is not invertible. (b) rank(A)=n (c) nullity(A)=0 (d) A is the product of elementary matrices. (e) Ax = 0 has only the trivial solution. (f) The column vectors of A are linearly independent. (g) det(A) # 0 (h) 0 is not an eigenvalue of A O a Ob O c Od O e Of O g Oh\f