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

Use of nested if-else statements, Use of Nested if-else statements: By...

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

For loop, FOR Loop: The for loop, or the for statement, is used whenev...

FOR Loop: The for loop, or the for statement, is used whenever it is essential to repeat statement(s) in the script or function, and whenever it is known ahead of time how man

Image processing, Image Processing: The Images are represented as grid...

Image Processing: The Images are represented as grids, or matrices, of picture elements (known as pixels). In MATLAB an image usually is represented as a matrix in which each

Is functions in matlab, IS Functions in Matlab: There are many functio...

IS Functions in Matlab: There are many functions which are built into MATLAB which test whether or not something is true; these function names start with the word is. As these

True color matrice - image processing, True color matrice: The true co...

True color matrice: The true color matrices are the other way to represent images. The true color matrices are 3-dimensional matrices. The first two coordinates are the coordi

Example of modular program, Example of modular program: In a modular p...

Example of modular program: In a modular program, there would be one main script which calls three separate functions to complete these tasks: A function to prompt an us

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]))

Matrix solutions of the linear algebraic equation, Matrix solutions to syst...

Matrix solutions to systems of the linear algebraic equations: The linear algebraic equation is an equation of the form a 1 x 1 + a 2 x 2 + a 3 x 3    .  .  .  .  a n x n

Example of image processing, Example of image processing: The other il...

Example of image processing: The other illustration generates a 5 × 5 matrix of arbitrary integers in the range from 1 to the number of colors; the resultant image is as shown

Distributed computing on linux cluster, i want to run 4 instances of my mat...

i want to run 4 instances of my matlab code on 4 processor cores. im executing the job from head node. i created a parallel job and assigned number of workers. but i don''t get bac

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