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

Indexing into vectors of structures, Indexing into Vectors of structures: ...

Indexing into Vectors of structures: Frequently, when the data structure is a vector of structures, it is essential to iterate through the vector in order by various fields. F

Finding products by for loop, Finding products by for loop: an illustr...

Finding products by for loop: an illustration, when 5 is passed to be the value of the input argument n, the function will compute and return 1 + 2 + 3 + 4 + 5, or 15: >> s

Illustration of initializing the data structure, Illustration of initializi...

Illustration of initializing the data structure: illustration of initializing the data structure by preallocating is here as shown: >> cyls(3) = struct('code', 'c', 'dimen

Matrix operations, Matrix operations: There are some common operations...

Matrix operations: There are some common operations on matrices. The operators which are applied term by term, implying that the matrices should be of similar size, sometimes

Patch function - graphics objects, Patch function - graphics objects: ...

Patch function - graphics objects: The patch function is used to generate a patch graphics object, which is made from 2-dimensional polygons. The patch is defined by its verti

Intersect function and setdiff function, Intersect function and setdiff fun...

Intersect function and setdiff function: The intersect function rather than returns all the values which can be found in both of the input argument vectors. >> intersect(v

Forward elimination, Forward elimination: In forward elimination, we w...

Forward elimination: In forward elimination, we want to obtain a 0 in the a 21 position. To accomplish this, we can alter the second line in the matrix by subtracting from it

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

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