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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.
Solving 2 × 2 systems of equations: However this may be easy in a MATLAB, in normal finding solutions to the systems of equations is not. The systems which are 2 × 2 are, thou
str2num function - String: The function str2num does the opposite; it takes the string in which a number is stored and converts it to the type double: >> num = str2num('123.
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,
Use of Nested if-else statements: By using the nested if-else to select from among the three possibilities, not all the conditions should be tested. In this situation, if x is
Illustration of Sorting strings: To sort on the rows rather than second dimension should be specified. >> sort(words,2) ans = Hello Hdowy Hi Gbdeo
Related Structure Functions: There are many functions which can be used with structures in a MATLAB. The function isstruct will return 1 for logical true when the variable arg
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)
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,
analyzing traffic; determine motion of flow; calculate tracklets; detect abnormalities;
Matrix operations: There are some common operations on matrices. The operators which are applied term by term, implying that the matrices should be of similar size, sometimes
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