To encode a message, break it into groups of three characters (including spaces) each, adding spaces at the end if needed. then, replace each character with an integer (a --26, space 27). write each group of three numbers as a column matrix and multiply b, shown at right, by each matrix. to decode an encoded message, write it as column matrices. multiply 8-1 by each matrix, then translate the results back to text. complete parts (a) through (o) below. 0 1 -1 (a) encode the message stay put. begin by finding the matrix product of b and the first group of three characters into three integers 0 1 -1 the full message is (b) find the inverse of b. (type a matrix, using an integer or decimal for each matrix element. do not factor out a scalar multiple.) (c) use the inverse of b to decode the message 204, -144, 7, 196, -100, -22, 264, -182, -2.