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

Illustration of gauss elimination, Illustration of Gauss elimination: ...

Illustration of Gauss elimination: For illustration, for a 2 × 2 system, an augmented matrix be: Then, the EROs is applied to obtain the augmented matrix into an upper

Converting between the string and number types, Converting between the Stri...

Converting between the String and Number types: The MATLAB has many functions which convert numbers to strings in which each character element is a separate digit, and vice ve

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

Str2num function - string, str2num function - String: The function str2...

str2num function - String: The function str2num does the opposite; it takes the string in which a number is stored and converts it to the type double: >> num = str2num('123.

Example of image processing, Example of image processing: The other il...

Example of image processing: The other illustration generates a 5 × 5 matrix of arbitrary integers in the range from 1 to the number of colors; the resultant image is as shown

Variable scope, Variable Scope: The scope of any of variable is the wo...

Variable Scope: The scope of any of variable is the workspace in which it is valid. The workspace generated in the Command Window is known as the base workspace. As we know

Readlenwid function - subfunctions, readlenwid function: function cal...

readlenwid function: function call: [length, width] = readlenwid; function header: function [l,w] = readlenwid In the function call, not any argument is passed; henc

Illustration of sound signals, Illustration of Sound files: For illust...

Illustration of Sound files: For illustration, the following script generates a subplot which shows the signals from chirp and from train, which is as shown in figure:

Expanding a function, Expanding a function: The expand function will m...

Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)

Plotting from a function, Plotting from a Function: The following func...

Plotting from a Function: The following function creates a Figure Window as shown in figure, which shows various types of plots for similar y vector. The vector is passed as a

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