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Example of Gauss-jordan:
For a 2×2 system, this would results
and for a 3 × 3 system,
Note that the resulting diagonal form does not involve the right-most column.
For illustration, the 2 × 2 system, forward elimination results the matrix:
Now, to carry on with back elimination, we require a 0 in the a12 position.
Therefore, the solution is x1 = 4; -2x2 = 2 or x2 = -1.
Here is an illustration of a 3× 3 system:
In a matrix form, the augmented matrix [A|b] is as shown below:
Subfunctions: Though, it is possible to have more than one function in a given M-file. For illustration, if one function calls the other, the first function would be the prima
ischar function: The ischar function return the logical true if an array is a character array, or logical false if not. >> vec = 'EK127'; >> ischar(vec) ans =
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
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
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] =
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
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,
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
Splits a string : The strtok function splits a string into pieces; it can be called in many ways. The function receives one string as an input argument. It appears for the fir
Interchange rows : for illustration interchanging rows ri and rj is written as
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