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 nested if-else statements, Use of Nested if-else statements: By...

Use of Nested if-else statements: By using the nested if-else to select from among the three possibilities, not all the conditions should be tested. In this situation, if x is

Patch function - graphics objects, Patch function - graphics objects: ...

Patch function - graphics objects: The patch function is used to generate a patch graphics object, which is made from 2-dimensional polygons. The patch is defined by its verti

Algorithm for expfn function, Algorithm for expfn function: The algori...

Algorithm for expfn function: The algorithm for expfn function is as shown:  receives the value of x as the input argument.  Prints the value of exp(x).  assigns a

Vectors of structures, Vectors of Structures: In numerous applications...

Vectors of Structures: In numerous applications, involving database applications, information generally would be stored in the vector of structures, instead of in individual s

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

Example of plotting from a function, Example of Plotting from a Function: ...

Example of Plotting from a Function: For illustration, the function can be called as shown below:      >> y = [1:2:9].^3      y =     1  27  125  343  729

Illustration of symbolic variable, Illustration of symbolic variable: ...

Illustration of symbolic variable: When, on the other hand, z is a symbolic variable to start with, quotes are not required around the expression, and the words are automatica

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

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

Implementation of binary search, Implementation of binary search: The ...

Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re

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