1. Let E be the 3 x 3 elementary matrix that encodes R1 R3, F be the 3 x 3 elementary matrix that encodes 1.5R3 > R3, and G be the 3 X 3 elementary matrix that encodes R2 5R3 > R2. Give (i. e., write down all 9 entries the matrix E. ( ive (i. e., write down all 9 entries (a) [4 points] ) (b) [4 points] Give 1. e., write down all 9 entries) the matrix F. (C) [4 points]G ) the matrix G. (d) [4 points] ) the matrix E'l. l ) l ) (i. e., write down all 9 entries (e) [4 points Give (i. e., write down all 9 entries the matrix F'l. ( Give (f) [4 points Give 1. e. write down all 9 entries the matrix G'l. A433). (a) [4 points] Give (i.e., write down all 4 entries) with work A4. 2. Let (b) [4 points] What is the reduced row echelon form of A? Justify your answer. (c) [4 points] Solve the following equation for 53': 1 _ 1 A3: ( _1 ) . 3. [5 points] Assume that the function f : IR > R is a line through the origin. What is the slope of f if the image of the interval [1, 4] is the interval [8, 2]? Explain your reasoning. Show your work