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1000 Numerical Methods
Quiz 2
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Q.1
What is the condition applied in the factorization method?
a) There must exist a diagonal matrix form of the given matrix
b) Matrix should not be singular
c) All principal minors of the matrix should be non-singular
d) Back substitution should be done
Q.2
A quadratic equation x4-x-8=0 is defined with an initial guess of 1 andFind the approximated value of x2 using Secant Method.
a) 1.571
b) 7.358
c) 7.853
d) 7.538
Q.3
If the equation y = aebx can be written in linear form Y=A + BX, what are Y, X, A, B?
a) Y = logy, A = a, B=logb and X=x
b) Y = y, A = a, B=logb and X=logx
c) Y = y, A = a, B=b and X=x
d) Y = logy, A = loga, B=b and X=x
Q.4
Secant Method is also called as?
a) 5-point method
b) 2-point method
c) 3-point method
d) 4-point method
Q.5
Find f(0.from the following table using Newton’s Forward interpolation formula.
a) 0.8878784
b) 1.9878785
c) 1.18878784
d) 1.8878784
Q.6
Which of the following is an assumption of Jacobi’s method?
a) The coefficient matrix has zeroes on its main diagonal
b) The coefficient matrix has no zeros on its main diagonal
c) The rate of convergence is quite slow compared with other methods
d) Iteration involved in Jacobi’s method converges
Q.7
Find the approximated value of x till 6 iterations for x3-4x+9=0 using Bisection Method. Take a = -3 and b = -2.
a) -0.703125
b) -3.903125
c) -1.903125
d) -2.703125
Q.8
Find the positive root of the equation x3 –– 9 = 0 using Regula Falsi method and correct to 4 decimal places.
a) 2.7506
b) 2.6570
c) 2.7065
d) 2.7605
Q.9
The equation f(x) is given as x3+4x+1=Considering the initial approximation at x=1 then the value of x1 is given as _______________
a) 1.85
b) 1.86
c) 1.87
d) 1.67
Q.10
In Newton Raphson method if the curve f(x) is constant then __________
a) f(x)=0
b) f’(x)=c
c) f’’(x)=0
d) f’(x)=0
Q.11
Which of these methods is named after the mathematician Carl Friedrich Gauss?
a) Gauss Jordan method
b) Runge Kutta method
c) Secant method
d) Newton Raphson method
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