Mathematical Functions and Expressions set 5

Que.The command to find the eigen vector of a matrix in matrix form is _____________
a. eig(a,matrix)
b. eig(a,’matrix’)
c. eigen(a,matr)
d. eig(a)
Que.The nature of the eigen matrix displayed in MATLAB is ___________
a. Unsorted
b. Sorted
c. Sorted in Ascending order
d. Sorted in Descending order
Que.Checking the linearity of a system, the first thing we need to check is whether the system is __________
a. Homogeneous or not
b. Consistent or not
c. Superposition
d. Depends on the representation of the system
Que.In MATLAB, how can we check linearity of systems represented by transfer function?
a. Check waveforms after superpostion
b. Compare rank of matrices
c. Go for Rouche’s Theorem
d. Intuition
Que.How can we check in MATLAB if an electrical circuit is linear or not?
a. Check consistency
b. Superposition
c. Superposition via Simulink
d. Check homogeneity
Que.How can we find the solution of a nonhomogeneous system of equations without dealing with the rank of matrices?
a. Rouche’s theorem
b. Cramer’s rule
c. Gauss’s law
d. Cannot be done
Que.For a homogeneous system, Cramer’s rule will always yield a trivial solution in MATLAB.
a. True
b. False
c. May be True or False
d. Can’t say
Que.To apply Cramer’s rule, the condition is _________
a. Non-homogeneous system of equations
b. Homogeneous system of equations
c. Determinant of co-efficient matrix is not equal to 0
d. No condition
Que.To apply superposition in MATLAB, the condition, one of the condition is ___________
a. No active element is present except sources
b. No passive element is present
c. System should have unilateral elements
d. Nothing needs to be checked
Que.A second order system with no initial condition is always linear.
a. True
b. False
c. May be True or False
d. Can’t say