Terms in Linear Algebra

Some important terms related in Linear algebra

• Nul matrix A matrix in which all elements are zero is called Null matrix.
• Row matrix A matrix with 1 row and any no. of column is called Row matrix.
• Column matrix A matrix with 1 column and any no.of row is called column matrix
• Square matrix A matrix having equal no. of rows and columns is called Square matrix.
• Unit matrix A Square matrix in which all diagonol elements are 1 and all non diagonal elements are 0 is called Unit matrix.
• Diagonal Matrix A Square matrix in which all diagonal elements are non zero and non diagonal matrix are 0 is called Diagonal matrix.
• Scalar matrix A diagonal matrix with all diagonal elements are a scalar is called Scalar matrix.
• Symmetric Matrix A matrix which satisfy the relation ,,    a_ij = a_ji 
• _{Skew-symmetric matrix A matrix which satisfy the relationship ,,,} a_ij = -a_ji
• _{Triangular matrix A matrix whose elements below or above the leading diagonal are zero are called triangular matrix.}
• _{Transpose of a matrix A matrix obtained after exchanging the rows and columns of a matrix is called transpose of a matrix. It is donated as} A^T
• Orthogonal matrix A matrix which satisfy this relationship,,,,, A^T.A= 1
• Conjugate Matrix A matrix obtained by the complex conjugate of a matrix A is called Conjugate matrix. 

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Questions on electronics and communication engineering - 4

E.C.E 4

These questions depends upon the Topic 'Amplitude Modulation'

1. Speech amplifiers are usually operated as?
2. In a low level AM system, amplifiers following the modulated stage must be?
3. Low level modulating AM transmitter shows which property?
4. What happens when modulation index is more than 100% in AM?
5. What is the core function of a modulator?
6. Plot carrier transmission contains?
7. Which kind of modulation amplifiers are used in AM transmitter?
8. What is the main requirement for a long wave AM broadcast transmitter?
9. In a low level AM transmitter, the amplifier following the modulated state must be.
10. Modulation index lies between?
11. The power rating of a radio transmitter is around?
12. How we can determine the frequency of the piezoelectric effect?

E.C.E 1
E.C.E 2
E.C.E 3

Answers For E.C.E - 3

Answers of E.C.E - 3 Questions

1. Rhombic Antenna

2. Smaller the beam-width angle, higher the directivity.

3. There are more than one driven elements in a driven array.

4. The effective length of a antenna is always greater than it's physical length.

5. Earthmat is used to ensure: -

• Provision of earth from the antenna
• Improvement of radiation patteren
• impossibility of good ground connection

6.  2.15 db

7. The induced voltage will experience 2 maxima and 2 null.

8. as a UHF receiving antenna.

9. 2

10. We use counterpoise to reduce: -

• Rockiness of ground connection
• Difficulty of a good ground connection
• Provision of earth from antenna.

11.  Top loading can be done by increase effective height.

12. Input impedance of folded dipole antenna is 280 ohms.



13. Unipolar antenna is best for low frequency transmission.

14.An antenna behave as a resonant circuit, when it's length is a integral multiple of  ʎ/2

15. An half wave dipole produce Broadside pattern.

16. The range will increase by the factor of  2^1/2

17. 1/2r

18. Loop antenna is commonly used for direction finding.

   

19. A parabolic antenna is commonly used at 5000 MHz. 


20.  The radiation pattern of Parabolic antenna is highly directional.








Answer for E.C.E 3 Questions

E.C.E 1 Questions
E.C.E 2 Questions

Questions on electronics and communication engineering 3

E.C.E. Questions -3

The following questions depends upon Antenna and it's application

1. Give example of non-resonant antenna.
2. What is the Relationship between Beamwidth angle and Directivity?
3. Properties of a driven array.
4. Relationship between effective length and physical length.
5. Why we use a earthmat along with antenna?
6. The power gain of half wave array with respect to a isotropic radiater is?
7. When loop antenna is radiated through 360 degree, the induced voltage will experience?
8. The discone antenna can be used as a ?
9. The number of array in a simplest parasitic array is?
10. Why we use a counterpoise with the antenna?
11. Top loading of an antenna may be done by?
12. The input impedance of a folded dipole antenna is nearly?
13. Antenna normally preferred for low frequency transmission is?
14. An antenna behave as resonance circuit when?
15. What kind of pattern a half wave dipole Produced?
16. If the height of transmitter and receiver antennas are doubled, what will happen to the range of TV broadcast ?
17. How the electric field intensity of a Hertzian dipole at a remote point varies as?
18. What is the common use of loop antenna?
19. At what frequency a parabolic antenna is commonly used?
20. What is the radiation pattern of a parabolic antenna?

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