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QUESTION 2. The Gaussian Elimination with backward substitution algorithm transforms the augmented matrix to triangular form and uses backward substitution to find the solution to
QUESTION 2. The Gaussian Elimination with backward substitution algorithm transforms the augmented matrix to triangular form and uses backward substitution to find the solution to a linear system. Consider the following similar algorithm: we transform the matrix into the following diagonal form: 0 a22 and then find the solution from here a) Write the pseudo-code, in a similar fashion to the Gaussian Elimination with backward substitution (b) Count the nmber of multiplications and divisions in this algorithm. What is the most efficient way in terms of multiplications/divisions) to transform the augmented matrix into diagonal form? (c) Implement the algorithm as a computer program. Find the solutions to the linear systems: +2r2 +7r3+-2 0.1?1 + 2.3T2 + 4.9r3-1.5 0.2m + 4T2 + 0.2m = 2 x1 + 2x2 + 0.5r3+ = 1 QUESTION 2. The Gaussian Elimination with backward substitution algorithm transforms the augmented matrix to triangular form and uses backward substitution to find the solution to a linear system. Consider the following similar algorithm: we transform the matrix into the following diagonal form: 0 a22 and then find the solution from here a) Write the pseudo-code, in a similar fashion to the Gaussian Elimination with backward substitution (b) Count the nmber of multiplications and divisions in this algorithm. What is the most efficient way in terms of multiplications/divisions) to transform the augmented matrix into diagonal form? (c) Implement the algorithm as a computer program. Find the solutions to the linear systems: +2r2 +7r3+-2 0.1?1 + 2.3T2 + 4.9r3-1.5 0.2m + 4T2 + 0.2m = 2 x1 + 2x2 + 0.5r3+ = 1
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