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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, or 34.
The square matrix is symmetric if aij = aji for all i, j. In another words, all the values opposite to the diagonal from each other should be equal to each other. In this illustration, there are three pairs of values opposite to the diagonals, all of which are equal that is the 2's, the 9's, and the 4's.
The square matrix is a diagonal matrix if all values which are not on the diagonal are 0. The numbers on the diagonal, though, do not have to be all nonzero though often they are. Mathematically, this is written as aij = 0 for i ~= j.
An example of a diagonal matrix is shown here.
Displaying expressions: The good-looking function will show such expressions by using exponents; for illustration, >> b = sym('x^2') b = x^2 >> pretty(b)
Interchange rows : for illustration interchanging rows ri and rj is written as
Program to Counting in a while loop: The script initializes variable counter to 0. Then, in the while loop action, each and every time the user successfully enter a number, th
Function strncmp: The function strncmp compares only the first n characters in the strings and ignores the rest. The initial two arguments are strings to compare, and third ar
Anonymous Functions: The anonymous function is a very easy, one-line function. The benefit of an anonymous function is that it does not have to be stored in an M-file. This ca
num2str function: The num2str function, that converts real numbers, can be called in many ways. If only the real number is passed to the num2str function, it will generate a s
Logical scalar values: The MATLAB also has or and and operators which work element wise for the matrices: These operators will compare any of the two vectors or matric
Changing Case: The MATLAB has two functions which convert strings to all uppercase letters, or all lowercase, known as the upper and lower. >> mystring = 'AbCDEfgh';
Illustration of Sorting strings: To sort on the rows rather than second dimension should be specified. >> sort(words,2) ans = Hello Hdowy Hi Gbdeo
Q.1: Consider the transmission of a sinusoid x(t) = cos(2f0t) through a channel a ected by multipath and Doppler. Let there be two paths, and assume the sinusoid is being sent fro
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