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

Function used in binary search, Function used in binary search: The fu...

Function used in binary search: The function below implements this binary search algorithm. It receives two arguments: the sorted vector and a key (on the other hand, the func

Function cellplot - cell array, Function cellplot - Cell array: The fu...

Function cellplot - Cell array: The function cellplot place a graphical display of the cell array in a figure Window; though, it is a high-level view and fundamentally just di

Vector operations, Vector operations: As vectors are special cases of ...

Vector operations: As vectors are special cases of matrices, the matrix operations elaborated (addition, subtraction, multiplication, scalar multiplication, transpose) work on

Graphics properties, Graphics Properties: The MATLAB uses the Handle G...

Graphics Properties: The MATLAB uses the Handle Graphics in all its figures. All figures consist of various objects, each of which is assigned a handle. The object handle is a

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

Inverse of square matrix, Inverse of square matrix: The inverse is, he...

Inverse of square matrix: The inverse is, hence the result of multiplying the scalar 1/D by each and every element in the preceding matrix. Note that this is not the matrix A,

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

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

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