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Square Matrices:
If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply only to the square matrices.
The main diagonal of a square matrix is the set of terms aii for which the row and column indices are similar, for illustration, from the upper left element to the lower right. For illustration, for the matrix below it is the set of numbers 1, 6, 11, & 16.
This is sometimes just called the diagonal. The MATLAB has a function diag which will return the diagonal of a matrix as a column vector.
>> mymat = reshape(1:16,4,4)'
mymat =
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15 16
>> diag(mymat)'
ans =
1 6 11 16
Displaying expressions: The good-looking function will show such expressions by using exponents; for illustration, >> b = sym('x^2') b = x^2 >> pretty(b)
Sorting Vectors of structures: Whenever working with vector of structures, it is very common to sort based on a particular field within the structures. For illustration, recal
Function used in binary search: The function below implements this binary search algorithm. It receives two arguments: the sorted vector and a key (on the other hand, the func
Passing Structures to Functions: The whole structure can be passed to a function, or separate fields can be passed. For illustration, here are the two distinct versions of a f
Print from the structure: To print from the structure, a disp function will show either the whole structure or a field. >> disp(package) item_no: 123 cost: 19.99
Function rmfield - structure: The function rmfield eliminates a field from the structure. It returns a new structure with field eliminated, but does not modify the original st
Q.1: Consider the transmission of a sinusoid x(t) = cos(2f0t) through a channel aected by multipath and Doppler. Let there be two paths, and assume the sinusoid is being sent fro
Executing a program: Running the program would be completed by typing the name of the script; this would call the other functions: >> calcandprintarea Whenever prompt
Tracing of Square matrices: The trace of a square matrix is the addition of all the elements on the diagonal. For illustration, for the preceding matrix it is 1 + 6 + 11 + 16,
Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re
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