CMPE 360 WORKSHEET #4



CMPE 360 WORKSHEET #5

Derive the formula of Gauss Quadrature of N=4 for following Integral and evaluate.

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Check your results with quad and quad8 function of Matlab:

Evaluate the following integral as accurate as possible using extended trapezoidal rule:

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Solve the system

2.51x1 + 1.48x2 + 4.53x3 = 0.05

1.48x1 + 0.93x2 - 1.3x3 = 1.03

2.68x1 + 3.04x2 - 1.48x3 =-0.53

By gaussian elimination, carrying just three significant digits and chopping. Do not interchange rows.

By gaussian elimination, this time using pivoting.

By gauss-Jordan method

By LU decomposition without pivoting

By LU decomposition with pivoting

Find the inverse of the coefficient matrix A.

Find the determinant of A.

Check your results with Matlab functions inv, det and lu and the ‘\’ operator.

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