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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 meaning. First of all, in order to multiply a matrix A by a matrix B to answer in a matrix C, the number of columns of A should be similar to the number of rows of B. If the matrix A has dimensions m × n that means that matrix B should have dimensions n × something; and we'll call it p. We say that the inner dimensions should be similar. The resultant matrix C has similar number of rows as A and similar number of columns as B (in another words, the outer dimensions m × p). In mathematical notation, [A]m x n [B]n x p = [C]m x p. This only defines the size of C.
The elements of the matrix C are defined as the addition of products of corresponding elements in the rows of A and columns of B, or in another words
In the example below, A is 2 × 3 and B is 3 × 4 therefore C will be 2 × 4. The elements in C are acquired by using the summation. The first row of C is obtained by using the first row of A and in succession the columns of B. For illustration, C(1,1) is 3 * 1 + 8 * 4 + 0 * 0 or 35. C(1,2) is 3 * 2 + 8 * 5 + 0 *2 or 46.
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';
Simplification Functions: There are numerous functions which work with expressions, and simplify the terms. Not all the expressions can be simplified, but the simplify functio
Forward elimination: In forward elimination, we want to obtain a 0 in the a 21 position. To accomplish this, we can alter the second line in the matrix by subtracting from it
Illustration of Matrix solutions: For illustration, consider the three equations below with 3unknowns x 1 ,x 2 , and x 3 : We can write this in the form Ax = b here A
Passing arguments to functions: In all these functions examples faraway, at least one of the arguments was passed in the function call to be the value(s) of the equivalent inp
I have a frequency response data. How do I convert that to state space? I am given a 6 row and 3 column data (steady state). How do i convert that to state space model?
Built-in colormaps: The MATLAB has numerous built-in colormaps which are named; the reference page on colormap shows them. Calling the function colormap without passing any ar
Technique to create Nested structures: This technique is the most proficient. Though, the other technique is to build the nested structure one field at a time. As this is a ne
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] =
Reading from a Mat-File: The load function is used to read from various types of files. As with save function, by default the file will be supposed to be a MAT-file, and load
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