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.

YP
Answered by Yaniv P. Further Mathematics tutor

4972 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Find the integrating factor of the following first order ODE: dx/dt = -2tx +t.


Find the general solution to: d^(2)x/dt^(2) + 7 dx/dt + 12x = 2e^(-t)


Prove by induction that the sum from r=1 to n of (2r-1) is equal to n^2.


Find the nth roots of unity.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences