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1000 Numerical Methods
Quiz 1
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Q.1
Numerical techniques more commonly involve _______
a) Elimination method
b) Reduction method
c) Iterative method
d) Direct method
Q.2
Which of the following is an iterative method?
a) Gauss Seidel
b) Gauss Jordan
c) Factorization
d) Gauss Elimination
Q.3
Solve the equations using Gauss Jordan method.
a) x=1, y=3, z=7
b) x=1, y=3, z=2
c) x=1, y=3, z=4
d) x=1, y=3, z=5
Q.4
Errors may occur in performing numerical computation on the computer due to which of the following reasons?
a) Operator fatigue
b) Back substitution
c) Rounding errors
d) Power fluctuation
Q.5
Which of the following is also known as the Newton Raphson method?
a) Chord method
b) Tangent method
c) Diameter method
d) Secant method
Q.6
If approximate solution of the set of equations, 2x+2y-z =x+y+= 8 and -x+3y+=is given by x = 2.8 y = 1 and z = 1.Then, what is the exact solution?
a) x = 1, y = 3, z = 2
b) x = 2, y = 3, z = 1
c) x = 3, y = 1, z = 2
d) x = 1, y = 2, z = 2
Q.7
Which of the methods is a direct method for solving simultaneous algebraic equations?
a) Relaxation method
b) Gauss seidel method
c) Jacobi’s method
d) Cramer’s rule
Q.8
If EF exists, then (EF)-1 will be equal to which of the following?
a) F-1 E-1
b) E-1 F-1
c) EF
d) FE
Q.9
Solve the following equations by Gauss Elimination Method.
a) x = 1.64491, y = 1.15085, z = 2.09451
b) x = 1.64691, y = 1.14095, z = 2.08461
c) x = 1.65791, y = 1.14185, z = 2.08441
d) x = 1.64791, y = 1.14085, z = 2.08451
Q.10
Which of the following is the advantage of using the Gauss Jordan method?
a) Additional Calculations
b) No labour of back substitution
c) More operations involved
d) Elimination is easier
Q.11
Apply Gauss Elimination method to solve the following equations.
a) X = -13, y = 1, z = -8
b) X = 13, y = 1, z = -8
c) X = -13, y = 4, z = 15
d) X = 5, y = 14, z = 5
Q.12
Matrix which does not have an inverse by solving it, is classified as which of the following?
a) singular matrix
b) non-singular matrix
c) linear matrix
d) unidentified matrix
Q.13
Which of the following transformations are allowed in the Gauss Jordan method?
a) Swapping a column
b) Swapping two rows
c) Swapping two columns
d) Swapping a row
Q.14
The Gauss Jordan method reduces a original matrix into a _____________
a) Skew Hermitian matrix
b) Non-symmetric matrix
c) Identity matrix
d) Null matrix
Q.15
Solve the given equations using Gauss Jordan method.
a) x=1, y=0.33, z=1.67
b) x=0.33, y=1, z=1.67
c) x=0.33, y=1.67, z=1
d) x=1.67, y=1, z=0.33
Q.16
What is the other name for factorization method?
a) Muller’s Method
b) Decomposition Method
c) Lin Bairstow Method
d) Doolittle’s Method
Q.17
Apply Cramer’s rule to solve the following equations.
a) x = 1.2, y = 2.2, z = -3.2
b) x = 1.2, y = 2, z = 3.2
c) x = 1.5, y = 2.2, z = -0.5
d) x = 1.5, y = 2.2, z = -0.5
Q.18
Cramer’s Rule fails for ___________
a) Determinant = 0
b) Determinant = non-real
c) Determinant < 0
d) Determinant > 0
Q.19
Gauss Seidal method is also termed as a method of _______
a) Iterations
b) False positions
c) Successive displacement
d) Eliminations
Q.20
Solve the following equation by Gauss Seidal Method up to 2 iterations and find the value of z.
a) 0
b) 1.92
c) 1.88
d) 1.22
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