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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, or 34.
The square matrix is symmetric if aij = aji for all i, j. In another words, all the values opposite to the diagonal from each other should be equal to each other. In this illustration, there are three pairs of values opposite to the diagonals, all of which are equal that is the 2's, the 9's, and the 4's.
The square matrix is a diagonal matrix if all values which are not on the diagonal are 0. The numbers on the diagonal, though, do not have to be all nonzero though often they are. Mathematically, this is written as aij = 0 for i ~= j.
An example of a diagonal matrix is shown here.
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
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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
Algorithm for subfunction: The algorithm for subfunction askforn is as shown: Prompt the user for the positive integer n. Loop to print an error message and reprom
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Example Exit modular program: In the illustration below, the user Chose the Limit; - Whenever prompted for n, entered the two invalid values before finally ente
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Scaling: change a row by multiplying it by a non-zero scalar sri → ri For illustration, for the matrix:
Interchange rows : for illustration interchanging rows ri and rj is written as
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