How do you invert a 2x2 matrix?

Take a matrix A=(acbd), where a,b,c,d are numbers.

First find the determinant. This is ad-bc.

Now, rearrange the matrix to become (d-c-ba). Divide this by the determinant, to have A-1=1/(ad-bc)(d-c-ba). This is the inverse of A.

Related Further Mathematics A Level answers

All answers ▸

Find the GS to the following 2nd ODE: d^2y/dx^2 + 3(dy/dx) + 2 = 0


f(x)=ln(x). Find the area underneath the curve f(x) between 1 and 2.


What is the complex conjugate?


Find the stationary points of the function z = 3x(x+y)3 - x3 + 24x


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences