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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
Illustration sorting vectors of structures: This function sorts the structures depend only on the price field. A more common function is shown next, that receives a string whi
Variable Scope: The scope of any of variable is the workspace in which it is valid. The workspace generated in the Command Window is known as the base workspace. As we know
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]))
Execute a exponential function program: Running the script will take up the menu as shown in the figure: Then, what happens will totally depend on which button(s) the
function numden: The function numden will return individually the numerator & denominator of a symbolic expression: >> sym(1/3 + 1/2) ans = 5/6 >> [n, d] =
Example of image processing: The other illustration generates a 5 × 5 matrix of arbitrary integers in the range from 1 to the number of colors; the resultant image is as shown
#question.
Dot Product: The dot or inner product of two vectors a and b is written as a • b and is defined as In another words, this is like matrix multiplication when multiplyi
Forward substitution: The Forward substitution (done methodically by first getting a 0 in the a 21 place, and then a 31 , and lastly a 32 ): For the Gauss technique,
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:
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