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

Reading from a mat-file, Reading from a Mat-File: The load function is...

Reading from a Mat-File: The load function is used to read from various types of files. As with save function, by default the file will be supposed to be a MAT-file, and load

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:

Appending variables to the mat-file, Appending variables to the Mat-File: ...

Appending variables to the Mat-File: Appending to the file adds to what has been saved in a file, and is accomplished by using the -append option. For illustration, supposing

Readlenwid function - subfunctions, readlenwid function: function cal...

readlenwid function: function call: [length, width] = readlenwid; function header: function [l,w] = readlenwid In the function call, not any argument is passed; henc

Calcrectarea subfunction, calcrectarea subfunction: function call: ar...

calcrectarea subfunction: function call: area = calcrectarea(len,wid); function header: function area = calcrectarea(len, wid)   In the function call, the two arg

Structures, Structures: The Structures are data structures which group...

Structures: The Structures are data structures which group together values which are logically related in what are known as the fields of structure. The benefit of structures

Displaying the cell arrays, Displaying the cell arrays: There are seve...

Displaying the cell arrays: There are several techniques of displaying the cell arrays. The celldisp function shows all elements of the cell array:   >> celldisp(cellro

Deblank function, deblank function: The deblank function eliminates on...

deblank function: The deblank function eliminates only trailing blanks from the string, not leading the blanks. The strtrim function will eliminate both the leading and traili

Illustration of gauss elimination, Illustration of Gauss elimination: ...

Illustration of Gauss elimination: For illustration, for a 2 × 2 system, an augmented matrix be: Then, the EROs is applied to obtain the augmented matrix into an upper

Signal and system, . Generate the following signal, x(n)=1+cos((25*pi...

. Generate the following signal, x(n)=1+cos((25*pi*n)/100),0 Compute the DTFT of x[n] for w=0:0.01:2*pi Plot the Real part, imaginary part, the amplitude and phas

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