Answer
a) True
b) True
c) False
d) True
e) True
Work Step by Step
a) If matrix B is formed from the columns vectors consisting of the basis, each vector in H is a unique solution of the equation Bx = d. Because the columns of B are linearly independent, there is only 1 solution
b) True.
c) The dimension of null space only depends on the free variables of the equation
d) True by definition
e) True by theorem
