Numerical Method208010 marksNumerical: Gauss Jordan methodGauss-Jordan method
How Gauss Jordan method differs from Gauss Elimination method? Solve the following system of equations using Gauss Jordan method. How can we use Gauss Jordan method to find the inverse of a matrix? Discuss.
How Gauss Jordan method differs from Gauss Elimination method? Solve the following system of equations using Gauss Jordan method. How can we use Gauss Jordan method to find the inverse of a matrix? Discuss.
$$ \begin{aligned} 2x - y + 4z &= 15 \ 2x + 3y - 2z &= 4 \ 3x + 2y - 4z &= -4 \end{aligned} $$
[10]
System of equations: $$2x - y + 4z = 15 \quad (1)$$ $$2x + 3y - 2z = 4 \quad (2)$$ $$3x + 2y - 4z = -4 \quad (3)$$ All coefficients and constants are present. Solvable in full. --- Feature Gauss Elimination Gauss Jordan --------- Final form Upper triangular Diagonal / identity Back substitution R...