HTTTC Bambili

Departments: CEFT, EPE, MEE & FCS

Options: All Industrial Level: 200 Duration: 2 hours

Course: Linear Algebra First Semester Examination

Question 1: 4 Marks

Determine the inverse of the 3x3 matrix below

A =







1 0 4

0 2 0

3 1 −3



Determine the following:

a) The eigenvalues and corresponding eigenvectors

b) Deduce the Modal matrix M.

c) Determine the Spectral matrix S

d) Determine the expression for A

 + 2−  + 3 = 9

2−  + 3+ 2 =23

3+ 3x +  +  =5

4+ 5− 2 + 2=−2

Using the Triangular decomposition method (LU Factorization)