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# How do you find the inverse of a matrix?

Wiki User

2012-10-05 01:24:26

Best Answer

In general, this is a complicated process. The matrix you start with must be a square matrix; the inverse will also be square, and of the same size.

When you multiply a matrix by it's inverse, the result is the 'identity matrix' - another matrix of the same size as the first two. It has a diagonal row of 1's from top left to bottom right, and 0's everywhere else.

The concept of the inverse in matrix arithmetic is similar to a reciprocal in multiplication:

3 x 3-1 = 3 x 1/3 = 1

When you multiply a number by it's reciprocal, you get '1'. In matrix math,

AA-1 = I

The identity matrix 'I' corresponds to the number 1.

It is useful to learn how to find the inverse of a matrix with a graphing calculator, so that you can check your answer.

Wiki User

2012-10-05 01:24:26
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