MTH501 Final Term Past Paper 2

FINALTERM EXAMINATION

SPRING 2006 MTH501 - LINEAR ALGEBRA Marks: 60 Time: 120min

Student Name:

Center Name/Code:

Exam Date:

3. Choose the best possible answer in each Multiple Choice Question.

Question 10 Total Marks

Q1. The characteristics polynomial for the matrix A= (2 marks)

is

Q2. Let A=PA (2 marks)

P

then what will be A where A= , D=

None of the other

Q3. The origin of the dynamical system (2 marks)

kx  =A kx for the matrix A= .8 .3 .4 1.5 is

Attractor

Repellor

Saddle point

None of them

Q4. The distance between the vectors u=(7,1) and v=(3,2)is (2 marks)

Q5. The vectors (2 marks)

are

Parallel

Orthogonal

Not Orthogonal

Not parallel

Q6. Describe the solution of the following system in parametric vector form (10 marks)

x · x · x

=4

x · x · x

=7

3x · x · x

= - 6