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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.
Vector operations: As vectors are special cases of matrices, the matrix operations elaborated (addition, subtraction, multiplication, scalar multiplication, transpose) work on
Comparing strings: There are few functions which compare strings and return logical true when they are equivalent or logical false when not. The function strcmp compares the s
Image Processing: The Images are represented as grids, or matrices, of picture elements (known as pixels). In MATLAB an image usually is represented as a matrix in which each
Illustration of Variable scope: Running this function does not add any of variables to the workspace, as elaborated: >> clear >> who >> disp(mysum([5 9 1]))
function imread: The function imread can read an image file, for illustration a JPEG (.jpg) file. The function reads color images into a 3-dimensional matrix. >> myimage1
Illustration of finding a sting: Let's enlarge this, and write a script which creates a vector of strings which are phrases. The outcome is not suppressed so that the string
Example of modular program: In a modular program, there would be one main script which calls three separate functions to complete these tasks: A function to prompt an us
Illustration of Passing arguments to functions: Here is an illustration of calling this function: >> printrand() The random # is 0.94 As nothing is passed to
Intersect function and setdiff function: The intersect function rather than returns all the values which can be found in both of the input argument vectors. >> intersect(v
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
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