a) Solve the system of equations
by LU decomposition method and find the inverse of the coefficient matrix
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b) i) Calculate the third-degree Taylor polynomial abou for
ii) Use the polynomial in part (i) to approximate and find a bound for the error involved.
iii) Use the polynomial in part (i) to approximate
| 1.414 | 1.031 | 1007 | 1.002 | 1.001 |
b) The function is to be tabulated at equispaced points in the interval [2, 3] using linear interpolation. Find the largest step size h that can be used so that the error
in magnitude.
b) Solve the system of equations
with partial pivoting. Store the multipliers and also write the pivoting vectors.
a) Solve the system of equations
by LU decomposition method and find the inverse of the coefficient matrix
b) For the linear system of equations
set up the Gauss-Jacobi and Gauss-Seidal iteration schemes in matrix form. Also check the convergence of the two schemes.
Take 10 figure logarithm to bases 10 from to
by unit increment. Calculate the first derivative of
when