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MTH603 Grand Quiz Solution and Discussion

Two matrices with the _______ characteristic polynomial need not be similar.
same
differentTwo similar matrices have the same characteristic polynomial. The converse however is not true in general: two matrices with the same characteristic polynomial need not be similar.

Jacobi’s Method is a/an………………
Iterative method
Direct method 
Whileusingtherelaxationmethodforfindingthesolutionofthefollowingsystem8x1+3x2−2x3=5 4x1+7x2+2x3=9 3x1+5x2+9x3=2withtheinitialvector(0,0,0),theresidualswouldbe

Gauss  Jordan Method is similar to ……….
Gauss–Seidel method
Iteration’s method
Relaxation Method
Gaussian elimination method 
The first row of the augmented matrix of the system of linear equations is:
2x+z=4
xy+z=3
y+z=5The first row of the augmented matrix of the system of linear equations is:
2x+z=4
xy+z=3
y+z=5 
Choleskey’s reduction method is also called
Bisection method 
While using the GaussSeidel Method for finding the solution of the system of equation, the following system
2x+2y+z=3
x+3y+z=2
x+y+z=2
can be rewritten as 
While using the relaxation method for finding the solution of the below given system, which of the following increment will be introduced?
6x1−2x2+3x3=1
−2x1+7x2+2x3=5
x1+x2−5x3=−13 
The linear equation: x+y=1 has  solution/solutions.
no solution
unique
infinite many
finite many 
The characteristics polynomial of a 3x 3 identity matrix is __________, if x is the eigen values of the given 3 x 3 identity matrix. where symbol ^ shows power.
(x1)^3
(x+1)^3
x^31
x^3+1 
@zaasmi said in MTH603 Grand Quiz Solution and Discussion:
Gauss–Seidel method is similar to ……….
In numerical linear algebra, the Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method used to solve a linear system of equations.

Gauss–Seidel method is similar to ……….
Iteration’s method
RegulaFalsi method
Jacobi’s method
None of the given choices 
3x4−2x2−24=0 has at least−−−−complex root(s)?
1
2
3
4 
While using Jacobi method for the matrix
A=⎡⎣⎢⎢200021012⎤⎦⎥⎥
the value of ‘theta θ’ can be found as 
If A=⎡⎣⎢⎢⎢⎢⎢231024039⎤⎦⎥⎥⎥⎥⎥then by using Gaussian Elimination method the value of A−1 will be

While using the GaussSeidel Method for finding the solution of the following system
3x+y+z=11
2x+5y−z=16
x+y+5z=4with initial guess (0,0,0), the next iteration would be