What is matrix inverse

(Comments)

Today any material can be easily accessed on Internet!

And therefore today I want to at least keep it in my mind, what is the sense of having a matrix inverse. 

As the matrix inverse symbol is \[Matrix^{-1}\]

So it means if some matrix let's say

and have matrix inverse, it will be

\(A . A^{-11} = Identity\)

And as we know the matrix identity is always

if 2 multiple by 2 it will be

\( \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \)

egin{bmatrix} x & x \ y & y nd{bmatrix}

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