Problem 1. (a) Flatmates Rani, Kurt and Sady are responsibly occupying a physical distancing circle in a park. Rani: Who invited the pigeon at {6,4}? Kurt: That's a maple leaf! Rani: No, the maple leaf is at [4, 6]. It's right next to me. Kurt: Then why'd you say [6,4]: when it's clearly at [4, 6}? Sady, who's been studying linear algebra, pipes up. Sady: Cut it out you two, you're both right. Explain to Kurt and Rani (i) what is going on, {ii} why is there confusion, and (iii) is one more right than the other (or are they both mug). You: explanation must include linear algebra terminology, and should be aimed at the level of a MATZZS student who has missed the last two weeks of class. That means, you should explain any newer linear algebra concepts} terminology you use. (6 points) (b) The pigeon has hopped over to Sady. Kurt: No way to confuse the pigeon for a maple leaf now. They all chuckle. Rani: Not so fast, some of us like leftvhanded bases. They all chuckle some more. Kurt: You're right, Rani. Ifyour point of View is the standard basis, and my point of View is a basis that's leftwhanded with respect to yours, then we'll both describe the maple leaf by the list [4, 6]I. The ever sharp Sady saves the day again. Sady: Can you be more specic? Correct Kurt's explanation, providing two different bases such that the maple leaf is represented by the list [4, 6} in one, and the pigeon is represented by the list {4, 6} in the other. Show your work. You do not need to say anything about lefthandedness or righthandedness. (4 points]