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Illustration of gauss-jordan elimination:
An illustration of interchanging rows would be r1 ¬→ r3, that would results:
Now, beginning with this matrix, an illustration of scaling would be: 2r2 → r2, that means all the elements in row 2 are multiplied by 2. These results:
Now, beginning with this matrix, an illustration of a replacement would be: r3 - 2r2 → r3. Element-by-element, row 3 is substituted by the element in row 3 minus 2 * the equivalent element in row 2. This result:
Both the Gauss and Gauss-Jordan techniques start with the matrix form Ax = b of a system of equations, and then augment the coefficient matrix A with the column vector b.
Matrix definitions: As we know the matrix can be thought of as a table of values in which there are both rows and columns. The most common form of a matrix A (that is sometime
Finding sums and products: A very general application of a for loop is to compute sums and products. For illustration, rather than of just printing the integers 1 through 5, w
Replacement : Replace a row by adding it to (or subtract from it) a multiple of the other row. For a given row ri, this is written as ri - srj → ri Note that when r
Referring to and Showing Cell Array Elements and Attributes: Just as with the other vectors, we can refer to individual elements of the cell arrays. The only difference is tha
Individual structure variable: The individual structure variable for one software package may look like this: The name of the structure variable is a package; it has f
For Loops which do not use an iterator Variable in the action: In all the illustrations that we seen so far, the value of the loop variable has been used in same way in the ac
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,
Related Structure Functions: There are many functions which can be used with structures in a MATLAB. The function isstruct will return 1 for logical true when the variable arg
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
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