Lab 2: MATH 2418 Linear Algebra Directions PLEASE READ : Answer all the following questions and CIRCLE YOUR ANSWERS! REMEMBER: YOU MUST SHOW ALL OF YOUR WORK, SIMPLIFY ALL OF YOUR ANSWERS, AND PERFORM EVERY STEP CORRECTLY TO RECEIVE FULL CREDIT ON THE PROBLEM. 1. Suppose a code breaker from the Army of the Potomac during the American Civil War intercepted the encoded message below. 45 -35 38 -30 18 18 35 30 81 60 4-2 28 75 55 2 2 22 21 15 10 a} You know that [45 -35] A" = [to 15] and [as -30] A'1 = [e 14]. where A" is the inverse of the encoding matrix A. Find w, x, y, and z. bl Decode the message