in math for Matrix operations, is inversing a matrix the same as pivoting it? except starting at the pivot??

Answer 1

absolutely not!

they are two completely different things.

the inverse of a matrix is such that

A*B = I,

where A is the orginal matrix, I is the Identity Matrix, and B is the inverse of A.

Answer 2

No, that is a transpose.
http://en.wikipedia.org/wiki/Transpose

The inverse matrix, when multiplied by the original matrix, will yield the identity matrix (zeroes everywhere, except 1's on the main diagonal).

Can only be found for square matrices that have a non-zero determinant (such a matrix is called an invertible matrix).

There are methods at the web site (but they are not as easy to follow as methods in class books).