Apply the Guass-Seidel method for the system using the initial approximation (2₁, 22, 23) = (0, 0, 0). Round every intermediate step to 2 significant digits. Do not swap the rows. (And yes, this is the same linear system in the practice exam. Having a calculator would be helpful at this moment.) 421 +222 +13=24 32142+1-36 (8) (9) 121 +022 +223 = 8 (10) The following table shows the output for each iteration. Note that the asterisks denote the numbers that we are not interested in. 01 2 3 4 5 6 7 8 9 0 21 6.0 * a1 0.0 -1.3 0.7 8.3 11.0 0 14.0 * * X2 * a2 10.0 23 0 1.0 4.6 3.7 * + 4.0 # Keep in mind that significant digits and decimal places are different concepts. For instance, rounding 52100.87 to 3 significant digits is 52100.87 = 0.5210087x100.521×10=52100. (11) (a) What are the solution at the 4th iteration? In other words, what are a1. 02. and as? (90 pts) (b) After applying the Gauss-Seidel method, does the system converge or diverge? Show the evidence of conver- gence/divergence. (20 pts) (c) Re-write the system in matrix form Ar = b. Use the first row cofactor expansion to find the determinant of A².