41. What are the applications of transform.
1) To reduce band width
2) To reduce redundancy
3) To extract feature.
42. Give the Conditions for perfect transform?
Transpose of matrix = Inverse of a matrix.
Orthoganality.
43. What are the properties of unitary transform?
1) Determinant and the Eigen values of a unitary matrix have unity magnitude 2) the entropy of a random vector is preserved under a unitary Transformation
3) Since the entropy is a measure of average information, this means information
is preserved under a unitary transformation.
Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.
Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
Engineering Mathematics
Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.
Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green’s theorems.
1.)MATLAB is a proprietary product of The MathWorks, so users are subject to vendor lock-in. Some other source languages, however, are partially compatible and provide a migration path.
2.)The language has a mixed heritage with a sometimes erratic syntax. For example, MATLAB uses parentheses, e.g. y = f(x), for both indexing into an array and calling a function. Although this ambiguous syntax can facilitate a switch between a procedure and a lookup table, both of which correspond to mathematical functions, a careful reading of the code may be required to establish the intent.
plotting of functions and data implementation of algorithm
creation of user interfaces,
implementation of algorithms,
HISTORY OF MATLAB
Short for “matrix laboratory”, MATLAB was invented in the late 1970s by Cleve Moler, then chairman of the computer science department at the University of New Mexico. He designed it to give his students access to LINPACK and EISPACK without having to learn Fortran. It soon spread to other universities and found a strong audience within the applied mathematics community.
