Consider the system Br1 + 4x2 – 3x3 = 4 Br1 + 8x2 – 4x3 = -5 2æ1 + 4x2 – 7x3 = 3 a) Is the coefficient matrix A of the system diagonally dominant? Explain your answer. b) Does Gauss-Seidel iteration converge to the exact solution? Explain your answer. C) Apply Gauss-Seidel iteration 1 step with initial vector æ(0) = (1,1,0)"| %3D

Q: Solve the given linear system using the ini methods:

A: Given,                9x1+x2+x3=102x1+10x2+3x3=193x1+4x2+11x3=0

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A: Please check step 2 for the solution.!

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.