Use five iterations of the Gauss–Seidel method to find approximate solutions to the system  4x - 3y = 25  2x + 5y = -7 Take x 0 = 2 , y 0 = -1 . Consider the system (a) Use three iterations of...

Use five iterations of the Gauss–Seidel method to find approximate solutions to the system  4x - 3y = 25  2x + 5y = -7 Take x₀
= 2 , y₀
= -1 .

Consider the system

(a) Use three iterations of Jacobi’s method to find an approximate solution to the given system. Take x₀
= 0 , y₀
= 2 , z₀
= 0 .  (b) Repeat (a) using the Gauss–Seidel method.