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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.
Interpolation and extrapolation: In most cases, it is desired to estimate values other than at the sampled data points. For illustration, we may want to estimate what the temp
Calling of Function polyval: The curve does not appear very smooth on this plot, but that is as there are only five points in the x vector. To estimate the temperature
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
Set Operations: The MATLAB has numerous built-in functions which perform set operations on vectors. These involve intersect, union, setdiff, unique, and setxor. All these func
about sampling theorem
Creating the structure Variables: Creating a structure variable can be accomplished by simply storing the values in fields by using assignment statements, or by using the stru
Matrix Multiplication: The Matrix multiplication does not mean multiplying term by term; and it is not an array operation. The Matrix multiplication has a very particular mean
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Illustration of Sound files: For illustration, the following script generates a subplot which shows the signals from chirp and from train, which is as shown in figure:
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
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