Inverse of square matrix, MATLAB in Engineering

Assignment Help:

Inverse of square matrix:

The inverse is, hence the result of multiplying the scalar 1/D by each and every element in the preceding matrix. Note that this is not the matrix A, but is determined by using the elements from A in the manner shown below: the values on the diagonal are reversed, and the operator negation is used on the other two values.

Note that if the determinant D is 0, it will not be possible to find the inverse of the matrix A.

20_Inverse of square matrix.png

The unknowns are found by evaluating this matrix multiplication, and hence:

x1 = -1 * 2 +  1 * 6 = 4

x2 = 1 * 2 + (-1/2) * 6 = -1

This, obviously, is the similar solution as found by the intersection of the two lines.

To do this in a MATLAB, at first we would generate the coefficient matrix variable a and column vector b.

 

>> a = [1 2; 2 2];

>> b = [2;6];


Related Discussions:- Inverse of square matrix

Vector operations, Vector operations: As vectors are special cases of ...

Vector operations: As vectors are special cases of matrices, the matrix operations elaborated (addition, subtraction, multiplication, scalar multiplication, transpose) work on

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

Technique to creating this structure, Technique to creating this structure:...

Technique to creating this structure: An alternative technique of creating this structure, that is not as efficient, includes using the dot operator to refer to fields in the

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

Function iscellstr - string, Function iscellstr - string function: The...

Function iscellstr - string function: The function iscellstr will return the logical true when a cell array is a cell array of all the strings, or logical false if not. >>

Comparing strings, Comparing strings: There are few functions which co...

Comparing strings: There are few functions which compare strings and return logical true when they are equivalent or logical false when not. The function strcmp compares the s

Interpolation and extrapolation, Interpolation and extrapolation: In m...

Interpolation and extrapolation: In most cases, it is desired to estimate values other than at the sampled data points. For illustration, we may want to estimate what the temp

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

Filter, A matlab function to calculate filter order

A matlab function to calculate filter order

Evaluating a string, Evaluating a string: The function eval is used to...

Evaluating a string: The function eval is used to compute a string as a function. For illustration, below is the string 'plot(x)'is interpreted to be a call to plot the functi

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