Inverting a 2 x 2 Matrix

Subjects | Maths Notes | A-Level Further Maths

Introduction

⇒ You can find the inverse of any non-singular matrix

⇒ The inverse of a matrix M is the matrix M-1 such that MM-1 = M-1M = I

⇒ You can use the following formula to find the inverse of a 2 x 2 matrix

inverting a 2 x 2 matrix

Example

inverting a 2 x 2 matrix

inverting a 2 x 2 matrix

⇒ If A and B are non-singular matrices, then (AB)-1 = B-1A-1

inverting a 2 x 2 matrix

inverting a 2 x 2 matrix

inverting a 2 x 2 matrix

Extra

⇒ Also see our notes on: