Page 275 - MATLAB an introduction with applications

260 ——— MATLAB: An Introduction with Applications

P4.10: Solve the system of equations in Problem P4.2 using Gauss-Seidel method.
P4.11: Solve the following set of equations in Problem P4.5 using Householder’s factorization method.
P4.12: Use the Householder reduction to transfer the following matrix A into tridiagonal form and solve the
set of equations Ax = b, where
 7 2 3 − 1  2 
 2 8 5 1   − 3 
A =   b =  
 3 5 12 9   5 
   
−   11 9 7     7  
P4.13: Determine the eigenvalues and eigenvectors of the following matrix using Jacobi method.

 11 2 8
[] =   2 2 − 10  
A
  9 − 10 5 

P4.14: Use Jacobi method to compute the eigenvalues and the corresponding eigenvectors of the following
matrix A:
 432 1
 34 1 2 
[] =  
A
 21 4 3
 
  1 234 
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