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

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

Creating cell arrays, Creating Cell arrays: There are many ways to cre...

Creating Cell arrays: There are many ways to create cell arrays. For illustration, we will create a cell array in which one element will store an integer, one element store ch

Technique is to create one element - vector, Technique is to create one ele...

Technique is to create one element - vector: Technique is to create one element with the values from one structure, and use repmat to replicate it to the preferred size. Then,

Sound files, Sound Files: The sound signal is an illustration of a con...

Sound Files: The sound signal is an illustration of a continuous signal which is sampled to result in a discrete signal. In this situation, sound waves traveling through the a

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

Num2str function - string, num2str function: The num2str function, tha...

num2str function: The num2str function, that converts real numbers, can be called in many ways. If only the real number is passed to the num2str function, it will generate a s

Logical scalar values - operators, Logical scalar values: The MATLAB a...

Logical scalar values: The MATLAB also has or and and operators which work element wise for the matrices: These operators will compare any of the two vectors or matric

Illustration of image processing, Illustration of Image processing: Th...

Illustration of Image processing: This displays that there are 64 rows, or in another word, 64 colors, in this specific colormap. It also displays that the first five colors a

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

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