Find the Inverse of a Matrix

While the 2x2 case was easy, finding inverses of nxn (note: has to be square!) is a little more challenging. We establish a method, based just on doing Elementary Row Operations to a bit of a funky matrix, to compute these inverses and run through a 3x3 examples.

Learning Objectives:
1) Decide if a matrix has the right dimensions to potentially be invertible.
2) Given an nxn matrix, compute it's inverse.

This video is part of a Linear Algebra course taught at the University of Cincinnati.

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[hueydo]

These videos are so underrated. This should have been in my recommend way before. Super helpful for any linear algebra class.

[babajaiy]

I think the second row operation at the 5'10" mark that is written as R(3) - 2R(2) -> R(2) should be written as: R(3) - 2R(1) -> R(3) ?

[ajitkhanal]

I think m by n and n by m also satisfies the case

[confused]

You need to put the vertical dot line between the A and I.