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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.
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
Sorting Vectors of structures: Whenever working with vector of structures, it is very common to sort based on a particular field within the structures. For illustration, recal
Algorithm for the function explaine: The algorithm for the function explaine is as shown: Print a description of e, the exp function, and how to find the approximate va
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
Reduced Row Echelon Form: The Gauss Jordan technique results in a diagonal form; for illustration, for a 3 × 3 system: The Reduced Row Echelon Forms take this one step
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Illustration of Set operations: For illustration, given the vectors as shown below: >> v1 = 2:6 v1 = 2 3 4 5 6 >> v2 = 1:2:7 v2 = 1 3 5 7
num2str function: The num2str function, that converts real numbers, can be called in many ways. If only the real number is passed to the num2str function, it will generate a s
Technique is to create one element - vector: Technique is to create one element with the values from one structure, and use repmat to replicate it to the preferred size. Then,
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