$(2)$ Write a Matlab function $B=$leftInverse$(A).$ Here $A$ is an $mn$ matrix. If A has

a left inverse, then the output $B$ is a left inverse of $A.$ If A does not have a left inverse,

the functions returns an empty matrix, i$.$e$.,B=[].$

$(2)$ Write a Matlab function $B=$ rightInverse$($A$).$ Here $A$ is an $mn$ matrix. If $A$

has a right inverse, then the output $B$ is a right inverse of $A.$ If A does not have a right

inverse, the functions returns an empty matrix, i$.$e$.,B=[].$

$(2)$ Write a Matlab function $[B,C]=$ factorize$($A$)$ such that $A.$ B and C are as

described in problem $(3)$ above.