Tracing of square matrices, MATLAB in Engineering

Assignment Help:

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.

2373_Tracing of Square matrices.png

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.

1604_Tracing of Square matrices1.png


Related Discussions:- Tracing of square matrices

Square matrices, Square Matrices: If a matrix has similar number of ro...

Square Matrices: If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply

Illustration of sound signals, Illustration of Sound files: For illust...

Illustration of Sound files: For illustration, the following script generates a subplot which shows the signals from chirp and from train, which is as shown in figure:

Executing a program - modular program, Executing a program: Running th...

Executing a program: Running the program would be completed by typing the name of the script; this would call the other functions: >> calcandprintarea Whenever prompt

Initializing the data structure - function, Initializing the data structure...

Initializing the data structure - Function: Function is shown as:   >> printcylvols(cyls) Cylinder x has a volume of 169.6 Cylinder a has a volume of 100.5

Set operations, Set Operations: The MATLAB has numerous built-in funct...

Set Operations: The MATLAB has numerous built-in functions which perform set operations on vectors. These involve intersect, union, setdiff, unique, and setxor. All these func

Illustration of symbolic variable, Illustration of symbolic variable: ...

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

Illustration of variable scope, Illustration of Variable scope: Runnin...

Illustration of Variable scope: Running this function does not add any of variables to the workspace, as elaborated: >> clear >> who >> disp(mysum([5 9 1]))

Finding products by for loop, Finding products by for loop: an illustr...

Finding products by for loop: an illustration, when 5 is passed to be the value of the input argument n, the function will compute and return 1 + 2 + 3 + 4 + 5, or 15: >> s

Interpolation and extrapolation, Interpolation and extrapolation: In m...

Interpolation and extrapolation: In most cases, it is desired to estimate values other than at the sampled data points. For illustration, we may want to estimate what the temp

Illustration of finding a sting, Illustration of finding a sting: Le...

Illustration of finding a sting: Let's enlarge this, and write a script which creates a vector of strings which are phrases. The outcome is not suppressed so that the string

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd