MATH 163 A. ASSIGNMENT #4 Solve for u, x, y and z in the matrix equation. x 2 2 3 z 10 1 1. 4 2 y 3 0 3 4 u B. 1 1 3 Given B = A = 4 1 2 0 1. AB C. 4. 3 A 2C T 2 5 1 3 2. 2 3 4 0 0 1 1 2 1 Solve the system of equations using the inverse of the coefficient matrix. 1. E. 2 1 2 and C = , calculate: 3 2 4 3. BC 2. BA 2 4 u 2 2 0 1 2 z 1 4 4 Determine the inverse matrix of the following matrices, if they exist. 1. D. 2 3 1 1 2 y 1 2. 3 4 3 1 x 1 4 2x 5 y 3 x 3y 2 2. x 4y z 3 2x 3y 2z 1 x 2 y 3z 7 Applications 1. The Theatre charges $4 for children and $8 for adults. One weekend, 900 people attended The Theatre, and the admission receipts totaled $5840. This is represented by the following matrix equation where x is the number of children and y is the number of adults. 1 1 x 900 4 8 y 5840 (a) Find the number of children and adults attending. (b) If the total attendance is 1000 and the admission receipts total $6260, find the number of children and adults attending