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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:
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,
Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)
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
1. Write a MATLAB function (upperTriangle) using the functions you previously created to convert a matrix to upper triangular form. Start with row 1, column1. Find the row that has
Graphics Properties: The MATLAB uses the Handle Graphics in all its figures. All figures consist of various objects, each of which is assigned a handle. The object handle is a
A matlab function to calculate filter order
Example to change the line width from the default: For illustration, to change the line width from the default of 0.5 to 1.5: >> set(hl,'LineWidth',1.5) As long as the
Cross Product: The cross or outer product a × b of two vectors a and b is defined only whenever both a and b are the vectors in three-dimensional space, that means that they b
Data structures: The Data structures are variables which store more than one value. In order to made sense to store more than one value in a variable, the values must in some
Print from the structure: To print from the structure, a disp function will show either the whole structure or a field. >> disp(package) item_no: 123 cost: 19.99
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