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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.
Text graphic function - Graphics objects: The text graphic function permits text to be printed in a Figure Window, involving special characters which are printed by using \spe
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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 symbolic variable: When, on the other hand, z is a symbolic variable to start with, quotes are not required around the expression, and the words are automatica
about sampling theorem
Removing Whitespace Characters: The MATLAB has functions which will eliminate trailing blanks from the end of a string and/or leading blanks from the starting of a string.
Sort algorithm for Sorting vectors of structures: Note that only the price field is compared in the sort algorithm, but the whole structure is replaced. That is therefore each
Basic mathematical operations: All the basic mathematical operations can be executed on symbolic expressions and variables (example, add, raise to a power, multiply, subtract,
Inverse of square matrix: The inverse is, hence the result of multiplying the scalar 1/D by each and every element in the preceding matrix. Note that this is not the matrix A,
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)
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