Find the null space and column space for a = [1 0 0 0 3 0 ]

Does anyone know how to do geometryme with this problem

Select the correct answer from each drop-down menu. let c(g) be the total cost, including shoe rental, for bowling g games at pin town lanes. c(g) = 5g+3 so, c(6) = 8? 33? 30? or 14? this means that for a $6 shoe rental? for $6 per game? for 6 games? for a total cost of $6? , the games are $8 each? total cost is $33? number of games is 14? or total cost is $30? reset next

If a revenue in total for a month was $9,950, fixed expenses were $9,000, and variable expenses were $300 what would be the total profit/ loss for the month?