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

Gauss elimination, Gauss Elimination: The Gauss elimination technique ...

Gauss Elimination: The Gauss elimination technique consists of:    Generating the augmented matrix [A b]    Applying EROs to augmented matrix to obtain an upper trian

Illustration of initializing the data structure, Illustration of initializi...

Illustration of initializing the data structure: illustration of initializing the data structure by preallocating is here as shown: >> cyls(3) = struct('code', 'c', 'dimen

Converting between the string and number types, Converting between the Stri...

Converting between the String and Number types: The MATLAB has many functions which convert numbers to strings in which each character element is a separate digit, and vice ve

Illustration of subfunctions, Illustration of Subfunctions: This is an...

Illustration of Subfunctions: This is an illustration of running this program: >> rectarea Please enter the length: 6 Please enter the width: 3 For a rectan

Algorithm for the function e, Algorithm for the function e: The algori...

Algorithm for the function e: The algorithm for the function eoption is as shown: Use the menu function to show the 4 choices. Error-check (an error would take place

Program to counting in a while loop, Program to Counting in a while loop: ...

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

Replacement - gauss-jordan elimination, Replacement : Replace a row b...

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

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

Function numden, function numden: The function numden will return indi...

function numden: The function numden will return individually the numerator & denominator of a symbolic expression: >> sym(1/3 + 1/2) ans = 5/6 >> [n, d] =

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