How does a matrix inverse differ from a inverse function?

Let A by an nxn non-singular matrix, then A-1 is the inverse of A. Now (A-1 )-1 =A So the answer is yes.

The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square...

Simply stated, the inverse of a function is a function where the variables are reversed. If you have a function f(x) = y, the inverse is denoted as f-1(y) = x. Examples: y=x+3 Inverse is x=y+3, or...

No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.

Yes, what you do is imagine the function "reflected" across the x=y line. Which is to say you imagine it flipped over and 'laying on its side". Functions have only one value of y for each value of x....