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

Use of while loop, Use of While loop: Here is an illustration of calli...

Use of While loop: Here is an illustration of calling the function, passing 5000 for the value of the input argument high. >> factgthigh(5000) ans = 5040 The itera

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

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

Algorithm for the function e, Algorithm for the function e: The algori...

Algorithm for the function e: The algorithm for the function eoption is as shown: Use the menu function to show the 4 choices. Error-check (an error would take place

Matrix multiplication, Matrix Multiplication: The Matrix multiplicatio...

Matrix Multiplication: The Matrix multiplication does not mean multiplying term by term; and it is not an array operation. The Matrix multiplication has a very particular mean

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

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

Program to counting in a while loop, Program to Counting in a while loop: ...

Program to Counting in a while loop: The script initializes variable counter to 0. Then, in the while loop action, each and every time the user successfully enter a number, th

Binary search, Binary Search: The binary search supposes that the vect...

Binary Search: The binary search supposes that the vector has been sorted first. The algorithm is just similar to the way it works whenever looking for a name in a phone direc

Tracing of square matrices, Tracing of Square matrices: The trace of a...

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,

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