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

For loops - iterator variable, For Loops which do not use an iterator Vari...

For Loops which do not use an iterator Variable in the action: In all the illustrations that we seen so far, the value of the loop variable has been used in same way in the ac

Vectors of structures, Vectors of Structures: In numerous applications...

Vectors of Structures: In numerous applications, involving database applications, information generally would be stored in the vector of structures, instead of in individual s

Function fieldnames - structure functions, Function fieldnames - structure ...

Function fieldnames - structure functions: The function fieldnames will return the names of the fields which are contained in the structure variable. >> pack_fields = fiel

Print from the structure, Print from the structure: To print from the ...

Print from the structure: To print from the structure, a disp function will show either the whole structure or a field. >> disp(package) item_no: 123 cost: 19.99

Algorithm for subfunction, Algorithm for subfunction: The algorithm fo...

Algorithm for subfunction: The algorithm for subfunction askforn is as shown:  Prompt the user for the positive integer n.  Loop to print an error message and reprom

Is functions for strings, IS Functions for Strings: There are many fun...

IS Functions for Strings: There are many functions for strings, that return logical true or false. The function isletter returns the logical true when the character is a lette

Built-in colormaps - image processing, Built-in colormaps: The MATLAB ...

Built-in colormaps: The MATLAB has numerous built-in colormaps which are named; the reference page on colormap shows them. Calling the function colormap without passing any ar

Matlab assignment, 1. Write a MATLAB function (upperTriangle) using the fun...

1. Write a MATLAB function (upperTriangle) using the functions you previously created to convert a matrix to upper triangular form. Start with row 1, column1. Find the row that has

Solving 2 × 2 systems of equations, Solving 2 × 2 systems of equations: ...

Solving 2 × 2 systems of equations: However this may be easy in a MATLAB, in normal finding solutions to the systems of equations is not. The systems which are 2 × 2 are, thou

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

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