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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 replacing row ri, nothing is multiplied by it. Rather, row rj is multiplied by a scalar s (that could be a fraction) and which is added to or subtracted from row ri.
Scaling: change a row by multiplying it by a non-zero scalar sri → ri For illustration, for the matrix:
Evaluating a string: The function eval is used to compute a string as a function. For illustration, below is the string 'plot(x)'is interpreted to be a call to plot the functi
Program of passing arguments to functions: This was an illustration of a function which did not receive any input arguments nor did it return any output arguments; it easily a
Example of Menu driven modular program: As an illustration of such a menu-driven program, we will write a program to discover the constant e. The constant e, known as the n
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
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,
Interchange rows : for illustration interchanging rows ri and rj is written as
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
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 gauss-jordan: Here's an illustration of performing such substitutions by using MATLAB >> a = [1 3 0; 2 1 3; 4 2 3] a = 1 3 0 2 1 3 4 2
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