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

Uses of function handles, Uses of Function handles: The Function handl...

Uses of Function handles: The Function handles can also be generated for functions other than anonymous functions, both built-in & user-defined functions. For illustration, th

Gauss-jordan, Gauss-Jordan: The Gauss-Jordan elimination technique beg...

Gauss-Jordan: The Gauss-Jordan elimination technique begins in similar way which the Gauss elimination technique does, but then rather than of back-substitution, the eliminati

Dot product of matrix, Dot Product: The dot or inner product of two ve...

Dot Product: The dot or inner product of two vectors a and b is written as a • b and is defined as  In another words, this is like matrix multiplication when multiplyi

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

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

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

Text graphic function - graphics objects, Text graphic function - Graphics ...

Text graphic function - Graphics objects: The text graphic function permits text to be printed in a Figure Window, involving special characters which are printed by using \spe

Function cirarea - anonymous functions, Function cirarea - Anonymous functi...

Function cirarea - Anonymous functions: The function handle name is cirarea. The one argument is passed to the input argument radius. The body of the function is an expression

Matrix definitions, Matrix definitions: As we know the matrix can be t...

Matrix definitions: As we know the matrix can be thought of as a table of values in which there are both rows and columns. The most common form of a matrix A (that is sometime

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