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

Frd to ss, I have a frequency response data. How do I convert that to state...

I have a frequency response data. How do I convert that to state space? I am given a 6 row and 3 column data (steady state). How do i convert that to state space model?

Function fieldnames - structure functions, Function fieldnames - structure ...

Function fieldnames - structure functions: The function fieldnames will return the names of the fields which are contained in the structure variable. >> pack_fields = fiel

Use of nested if-else statements, Use of Nested if-else statements: By...

Use of Nested if-else statements: By using the nested if-else to select from among the three possibilities, not all the conditions should be tested. In this situation, if x is

Polyhedron - graphics objects, Polyhedron - graphics objects: The fiel...

Polyhedron - graphics objects: The field polyhedron.vertices is a matrix in which each row presents (x,y,z) points. The field polyhedron.faces defines the faces: for illustrat

Example of gauss-jordan, Example of Gauss-jordan: For a 2×2 system, th...

Example of Gauss-jordan: For a 2×2 system, this would results and for a 3 × 3 system, Note that the resulting diagonal form does not involve the right-most col

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

Preallocating a vector, Preallocating a Vector: There are necessarily ...

Preallocating a Vector: There are necessarily two programming techniques that can be used to simulate the cumsum function. One technique is to begin with an empty vector and c

Finding sums by for loop, Finding sums and products: A very general ap...

Finding sums and products: A very general application of a for loop is to compute sums and products. For illustration, rather than of just printing the integers 1 through 5, w

Technique to create nested structures, Technique to create Nested structure...

Technique to create Nested structures: This technique is the most proficient. Though, the other technique is to build the nested structure one field at a time. As this is a ne

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