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

Example of menu driven modular program, Example of Menu driven modular prog...

Example of Menu driven modular program: As an illustration of such a menu-driven program, we will write a program to discover the constant e. The constant e, known as the n

Expanding a function, Expanding a function: The expand function will m...

Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)

Illustration of gauss-jordan elimination, Illustration of gauss-jordan elim...

Illustration of gauss-jordan elimination: An illustration of interchanging rows would be r1 ¬→ r3, that would results: Now, beginning with this matrix, an illustration of sc

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

Gauss, Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations...

Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations, there are well-defined, easy solution techniques. Though, for the larger systems of equations, finding solutio

Tracing of square matrices, Tracing of Square matrices: The trace of a...

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,

Defined a variable in work space, Defined a variable in work space: Th...

Defined a variable in work space: The variables defined in the script will become a part of the workspace: >> clear >> who >> mysummfile    15 >> who

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

Scaling - gauss-jordan elimination, Scaling:   change a row by multiplying ...

Scaling:   change a row by multiplying it by a non-zero scalar sri →  ri For illustration, for the matrix:

Illustration of preallocating a vector, Illustration of Preallocating a Vec...

Illustration of Preallocating a Vector: Illustration of calling the function: >> myveccumsum([5 9 4]) ans =     5  14  18 At the first time in the loop, outvec wil

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