Free Printable Numerical Analysis

1.

What is the suitable value of n to use Trapezoidal, Simpson's 1/3rd and Simpson's 3/4th rule?

a)

6

b)

12

c)

8

d)

4

2.

$\int_0^1\ \frac{1}{1+x^2}dx=$

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

0

d)

1

3.

$\Delta=$

a)

$E-1$

b)

$E+1$

c)

$e-1$

d)

None of these

4.

$\delta=$

a)

$\frac{1}{2}\left(E^{\frac{1}{2}}-E^{-\frac{1}{2}}\right)$

b)

$\frac{1}{2}\left(E^{\frac{1}{2}}+E^{-\frac{1}{2}}\right)$

c)

$\frac{1}{2}\left(E^{-\frac{1}{2}}-E^{\frac{1}{2}}\right)$

d)

$\frac{h}{2}\left(E^{-\frac{1}{2}}-E^{\frac{1}{2}}\right)$

5.

The equation f(x) = 0 is called -------- if f(x) involves logarithmic, trigonometric and exponential functions.

a)

algebraic

b)

transcendental

6.

$What\ would\ be\ the\ rank\ of\ a\ matrix\ A\ of\ order\ m\times n\ is$

a)

$\le\min\left\{m,n\right\}$

b)

$\ge\min\left\{m,n\right\}$

c)

$\le\max\left\{m,n\right\}$

d)

m or n

7.

$What\ is\ the\ rank\ of\ a\ non\ \sin gular\ matrix\ of\ order\ n?$

a)

$not\ exist$

b)

$<n$

c)

$>n$

d)

$=n$

8.

$What\ is\ the\ rank\ of\ a\ \sin gular\ matrix\ of\ order\ n?$

a)

$\le n$

b)

$<n$

c)

$>n$

d)

$=n$

9.

If the eigen values of a matrix are 1,1,5 then the eigen values of A^-1 are

a)

1,1,1/5

b)

1,1,5

10.

If one of the eigen values of a matrix is 0, then the matrix is

a)

singular

b)

non-singular

11.

If A is a singular matrix, then the system AX=B has

a)

infinitely many solutions

b)

finite solutions

c)

Solution not exist

d)

None of these

12.

If A is non-singular, then the system AX=0 have

a)

zero solution only

b)

unique solution only

c)

infinitely many solutions

d)

Inconsistant

13.

The rank, index, signature and nature of the quadratic form 2x²+3y²-z² are

a)

3, 2, 1 and indefinite

b)

3, 2, 1 and positive semi definite

c)

3, 2, 1 and indefinite

d)

None

14.

The rank, index, signature and nature of the quadratic form 2x²+3y²+z² are

a)

3, 3, 3 and indefinite

b)

3, 3, 3 and positive definite

c)

3, 3, 3 and indefinite

d)

3, 2, 3 and positive definite

15.

If the eigen values of a matrix A are 2,3,7 then the eigen values of A^Tare

a)

1/2, 1/3, 1/7

b)

2,3,7

16.

If the eigen values of a matrix A are 2,3,7 then the eigen values of 2A-Iare

a)

3,5,13

b)

2,3,7

c)

4,6,14

17.

$If\ \rho\left(A\right)=\rho\left(B\right)<n\ of\ the\ system\ AX=B,\ then$

a)

it has no solution

b)

it has unique solution

c)

it has infinitely many solutions

d)

None of these

18.

$If\ \rho\left(A\right)=\rho\left(B\right)=n\ of\ the\ system\ AX=B,\ then$

a)

it has no solution

b)

it has unique solution

c)

it has infinitely many solutions

d)

None of these

19.

$If\ \rho\left(A\right)\ne\rho\left(B\right)\ of\ the\ system\ AX=B,\ then$

a)

it has no solution

b)

it has unique solution

c)

it has infinitely many solutions

d)

None of these

20.

$\mu=$

a)

$\frac{1}{2}\left(E^{\frac{1}{2}}+E^{-\frac{1}{2}}\right)$

b)

$\frac{1}{2}\left(E^{\frac{1}{2}}-E^{-\frac{1}{2}}\right)$

21.

$E^{-2}f\left(x\right)=$

a)

$f\left(x-2h\right)$

b)

$f\left(x-2h\right)-f\left(x\right)$

c)

$f\left(x+2h\right)$

d)

$f^{-2}\left(x\right)$

22.

$\Delta^2y_0=$

a)

$\Delta y_1-\Delta y_0$

b)

$\Delta y_0-\Delta y_1$

c)

$\Delta^2y_1-\Delta^2y_0$

d)

$\Delta y_1+\Delta y_0$

23.

$A\ root\ of\ the\ equation\ x^2-3x+1\ lies\ between$

a)

0 and 1

b)

1 and 2

c)

2 and 3

d)

3 and 4

24.

$A\ root\ of\ the\ equation\ \cos x-2x=0\ liees\ in\ between$

a)

0.5 and 1

b)

1.5 and 2

c)

0.5 and 0.7

d)

0.7 and 0.9

25.

What is the suitable n for Simpson's 3/8 th rule is

a)

9

b)

12

c)

8

d)

15

Numerical Analysis

Total questions: 25

Worksheet time: 10mins

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