Question

-2x1+5x2+x3=4

2x1-x2+6x3=7

8x1+4x2-x3=11

a)Check whether system is ill-conditioned or well- conditioned
b) Apply partial pivoting to the system and heck whether system is ill-conditioned or well- conditioned, comment on this.
c)Solve the unknowns by LU decomposition
d)Obtain the inverse of coefficient matrix by LU decomposition

Answer 1