Matrix inverse, Mathematics

Assignment Help:

Here we need to see the inverse of a matrix. Provided a square matrix, A, of size n x n if we can get the other matrix of similar size, B that,

AB = BA = In after that we call B the inverse of A and denote it by B=A-1.

Calculating the inverse of a matrix, A, is quite simple. Firstly we form a new matrix,

(A In)

And after that use the row operations from the earlier section and try to change this matrix in the form,

(In B)

If we can so B is the inverse of A.  If we can't so there is no inverse of the matrix A.


Related Discussions:- Matrix inverse

Proof of alternating series test, Proof of Alternating Series Test With...

Proof of Alternating Series Test With no loss of generality we can assume that the series begins at n =1. If not we could change the proof below to meet the new starting place

Estimate how much should every friend pay, A group of ?ve friends gone out ...

A group of ?ve friends gone out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the similar, so they needed to split the bill evenly. Without consider

Elli[ital paths of celestial bodies, Create a detailed diagram to describe ...

Create a detailed diagram to describe the equation of an ellipse in terms of it’s eccentricity and indicate how the foci and major and minor semi-axes are involved. Y

Real and distinct roots, Now we start solving constant linear, coefficient ...

Now we start solving constant linear, coefficient and second order differential and homogeneous equations. Thus, let's recap how we do this from the previous section. We start alon

Prove that a simple graph is connected, Prove that a simple graph is connec...

Prove that a simple graph is connected if and only if it has a spanning tree.    Ans: First assume that a simple graph G has a spanning  tree T.  T consists of every node of G.

Example of integrals involving trig functions, Example of Integrals Involvi...

Example of Integrals Involving Trig Functions Example: Estimate the following integral. ∫ sin 5 x dx Solution This integral no longer contains the cosine in it that

Triangle and its properties, in a triangle angle a is 70 and angle b is 50 ...

in a triangle angle a is 70 and angle b is 50 what is angle c.

Examining a related problem, how to explain this strategy? how to do this s...

how to explain this strategy? how to do this strategy in solving a problem? can you give some example on how to solve this kind of strategy.

What are complex numbers, Q. What are Complex numbers? Ans. Comple...

Q. What are Complex numbers? Ans. Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is a special number called the imaginary unit, which

Math, The Timbuktu post office has only 3 cents and 7 cents stamps having r...

The Timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations. What are the six amounts of postage that cannot be created? How do you know

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