Analogy / Example for inverse of matrix
Imagine a software through which if you put an image(digital), this image stretches in width by a factor of 4
and its height increases by a factor of 3/2 .
Now lets say you want to make a software that has to bring the image back to its original dimensions.
This software does this by multiplying the stretched and increased height modified matrix by a new matrix such that the resulting matrix will
be the original unstretched and unmodified image.
The parameters of the unmodified image can be represented as Matrix x [ Identity Matrix] .
Just as every in numbers, every value can be represented as number x 1, For example your weight can be represented as 65 x 1.
In a similar manner in the world of matrices, every matrix can be represented as Matrix x (Identity matrix).
The number 1 when multiplied to any number means an operation which does not change anything about the number. Its actually multiplication
by the fraction 1/1. We just loosely write it as the number 1. Its actually a fraction.
Now imagine you are going in a rocket and suddenly your rockets speed increases by 4 times. And you need some mechanism to slow the rocket down
to how it was before the power surge happened. You would require some software that will reduce the speed of the rocket by 1/4.
As you see, 1/4 is the inverse of 4.
Now lets say its a car that has dented due to an accident. Certain dimensions of the car have dented inwards by a factor of 1/1.2
The inverse of 1/1.2 is 1.2
This entire incident of denting and undenting can be represented by matrix multiplications. That matrix which will produce the undenting and
recover the original dimensions of the car is known as the inverse matrix.
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