For Example we have vector spare V of all sequences W : (was,, we, w3 , ...). of real numbers define as V = S ( w , w 2 , . .. .) | Wi ER i = 12 , ... Yd wed we can define vector addition for sequences as ( W . , W 2 , ... ) + ( 30 1 , X 2 , .. . ) = ( w, + x,, Wet x2 , .. ) Aso we could define scalar multiplication for sequences as 1 ( w ,, w 2 , .. ) = ( 1 w, , G W 2 , ...) where MER. i) how to determine if A = S W E V / W, W 2 = OF is a Vector subspace of OX 91 ) As above how to define the of A = S W E V | 2 W 2 - Wg = Oy . is a vector subspace of V or not