Classical

Numerical Methods - Numerical Methods MCQ

6:  

In the Gauss elimination method for solving a system of linear algebraic equations,triangularzation leads to

A.

Diagonal matrix

B.

Lower triangular matrix

C.

Upper triangular matrix

D.

Singular matrix

 
 

Option: C

Explanation :


7:  

 If   Δf(x)  =  f(x+h) - f(x), then a constant k, Δk equals

A.

1

B.

0

C.

f(k)- f(0)

D.

f(x + k) - f(x)

 
 

Option: B

Explanation :


8:  

 Double (Repeated) root of
4x3- 8x2- 3x + 9 = 0 by Newton-raphson method is

A.

1.4

B.

1.5

C.

1.6

D.

1.55

 
 

Option: B

Explanation :


9:  

Using Bisection method, negative root of x3 - 4x + 9 = 0 correct to three decimal places is

A.

-2.506

B.

-2.706

C.

- 2.406

D.

None of these

 
 

Option: B

Explanation :


10:  

 Four arbitrary points (x1, y1), (x2, y2), (x3, y3),(x4, y4) are given in the x, y-plane. Using the method of least squares, if regressing y upon x gives the fitted line y = ax + b; and regressing y upon x gives the fitted line y + ax + b; and regressing x upon y gives the fitted line
x = cy + d, then

A.

Two fitted lines must coincide

B.

Two fitted lines need not coincide

C.

It is possible that ac = 0

D.

A must be 1/c

 
 

Option: D

Explanation :




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