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

Interchange rows - gauss-jordan elimination, Interchange rows : for illust...

Interchange rows : for illustration interchanging rows ri and rj is written as

Set operations, Set Operations: The MATLAB has numerous built-in funct...

Set Operations: The MATLAB has numerous built-in functions which perform set operations on vectors. These involve intersect, union, setdiff, unique, and setxor. All these func

Changing case, Changing Case: The MATLAB has two functions which conve...

Changing Case: The MATLAB has two functions which convert strings to all uppercase letters, or all lowercase, known as the upper and lower. >> mystring = 'AbCDEfgh';

Example of menu driven modular program, Example of Menu driven modular prog...

Example of Menu driven modular program: As an illustration of such a menu-driven program, we will write a program to discover the constant e. The constant e, known as the n

Matrix solutions of the linear algebraic equation, Matrix solutions to syst...

Matrix solutions to systems of the linear algebraic equations: The linear algebraic equation is an equation of the form a 1 x 1 + a 2 x 2 + a 3 x 3    .  .  .  .  a n x n

Plotting file data, Plotting File data: It is frequently essential to ...

Plotting File data: It is frequently essential to read data from a file and plot it. Generally, this entails knowing the format of the file. For illustration, let us suppose t

Initializing the data structure - function, Initializing the data structure...

Initializing the data structure - Function: Function is shown as:   >> printcylvols(cyls) Cylinder x has a volume of 169.6 Cylinder a has a volume of 100.5

Program of passing arguments to functions, Program of passing arguments to ...

Program of passing arguments to functions: This was an illustration of a function which did not receive any input arguments nor did it return any output arguments; it easily a

Example of modular program, Example of modular program: In a modular p...

Example of modular program: In a modular program, there would be one main script which calls three separate functions to complete these tasks: A function to prompt an us

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

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