2:27 PM Fri Sep 29 (9&59073 MAT 242 Written Homework #2 2.2, 2.3, 3.1 Due: September 29 Solve the following problems. showing any necessary work. This includes row operations. 1. [1 point] Below is a matrix equation. Find a system of equations which, when solved, produces all solutions to the matrix equation. You do not need to simplify or solve these equations. (Your answer should be a list of equations, like f2 7 gh : *2. fgh : 0 + f, etc.) 1% $113 deli: 3143311 71 1 D 2. [1 point] Find the inverse of the matrix 0 *1 *1 using Gauss-Jordan Elimination. l 1 1 3. [1 point] Solve the system of linear equations *3761 + X4 : 0 *8X1 7 3X2 + X3 + 2X4 : 2 IDXI Jr 4X2 7 X3 7 2X4 : 4 *(SXI * 2X2 + X4 : 2 ,3 0 0 111 [71 2 2 1] ._ . ' 7873 1 2 7 2737372 \" '. H using the fact that [ 10 4 _1 _2J i [ 2 _4 _5 _4J . (Other methods may result 1n the loss *6 *2 0 1 *2 6 5 3 of points.) 0 2 3 3 . . 0 *3 *3 0 . _ . '. . ' 4. [1 pomt] Find 0 3 0 _2 using expansion by minors. 2 3 4 ,2