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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.
Dot Product: The dot or inner product of two vectors a and b is written as a • b and is defined as In another words, this is like matrix multiplication when multiplyi
I have a frequency response data. How do I convert that to state space? I am given a 6 row and 3 column data (steady state). How do i convert that to state space model?
Example of Plotting from a Function: For illustration, the function can be called as shown below: >> y = [1:2:9].^3 y = 1 27 125 343 729
Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations, there are well-defined, easy solution techniques. Though, for the larger systems of equations, finding solutio
Illustration of Preallocating a Vector: Illustration of calling the function: >> myveccumsum([5 9 4]) ans = 5 14 18 At the first time in the loop, outvec wil
Program to Counting in a while loop: The script initializes variable counter to 0. Then, in the while loop action, each and every time the user successfully enter a number, th
Anonymous Functions: The anonymous function is a very easy, one-line function. The benefit of an anonymous function is that it does not have to be stored in an M-file. This ca
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
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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