MTH501 Practice Questions Lectures 1-18

Practice Question with Answer for Lecture # 2

Q1. Find the transpose of matrix

A Solution:

tA

Interchange the rows with columns.

Q2. What is the order of given matrix 5

Solution: Order is 2 4

Q3. Write the following single column matrix as the sum of three column vectors:

t

x · x · x · x · e

Solution:

t t t x x x x x x x x x e x e e

Q4. Question # 7

For the matrices A and B , evaluate BA?

Solution:

BA

Q8. For the matrices

A and B , evaluate AB?

Solution:

AB

Q9. For the matrices

A and B , evaluate AB?

Solution: Multiplication is not possible as number of columns of first matrix is not equal to the number of rows of second matrix.

Practice Questions Lecture # 3

Q1. Which of the following is a non-linear equation?

a. x x x b. x x x c. x x = d. x x

Solution:

x x = is non-linear equation because there is product of variables involved. So part c is the

Q2. Which of the following is the correct Coefficient matrix for the system

x x x x x x a.

b.

c.

d.