Linear Algebra 1 (FSCT3104)
Mechanical Engineering - MEN
Semester: First Semester
Level: 300
Year: 2018
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 2 3
6 −1 2
4 0 −1
Question 2: 12 Marks
Consider the 3x3 matrix defined as 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
n
e) Using the expression obtained in (d), compute A
4
Question 3: 4 Marks
Solve the set of four equations below:
+ 2− + 3 = 9
2− + 3+ 2 =23
3+ 3x + + =5
4+ 5− 2 + 2=−2
Using the Triangular decomposition method (LU Factorization)
GOOD LUCK
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