need solution for Question 4 with clear progress Let M, X and V be as given in Question 1. Moreover, suppose V is not in the span of the columns of

need solution for Question 4

with clear progress

Let M, X and V be as given in Question 1. Moreover, suppose V

is not in the span of the columns of M. Does MX = V have any solutions? If

not, explain how you might find a vector X

such that M X

???? V is as small as

possible. (Hint: You may assume that only the zero vector is in the kernel of M

and your answer should first address the question "what does it mean for a vector

to be small").