1. Consider the given matrix: 18 points 10 100 B = 20 1000 30 10000 i. What is the rank of the given matrix? Explain your answer. 2 points ii. What is the nullity of B? 2 points iii. What is the kernel of B that is, {x : Bx = 40}.? 2 points iv. Given a matrix 111 A=[111] Find AB, rank, kernel and nullity of AB. 10 points 2. Let T:R2->R2 be defined by X x + y X - y Show that T is an isomorphism. Hint : Show that T is a linear transformation, one to one and onto. 14 points