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 a*d-b*c.

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.

Yaniv P. GCSE Maths tutor, GCSE Physics tutor, GCSE Further Mathemati...

2 years ago

Answered by Yaniv, an A Level Further Mathematics tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£30 /hr

Mathew V.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics

“Hi there! I’m Mathew, a 3rd year undergraduate student of Mathematics at Warwick University. For A-Levels I studied Maths, Further Maths, Further Additional Maths and Physics. I also worked at a local tuition centre for 2 years prior ...”

£26 /hr

Samuel C.

Degree: Physics (Bachelors) - Durham University

Subjects offered:Further Mathematics , Physics+ 2 more

Further Mathematics

“Hi, I'm Sam Crawford. I'm studying Maths and Physics at Durham University, with an offer from Cambridge for next year, and I absolutely love both subjects.”

£20 /hr

Rahul P.

Degree: Economics (Bachelors) - LSE University

Subjects offered:Further Mathematics , Maths

Further Mathematics

“I'm enthusiastic about Maths and I think my 598/600 UMS in Maths A Level puts me in a strong position to help others.”

MyTutor guarantee

About the author

Yaniv P.

Currently unavailable: until 22/12/2015

Degree: Mathematics (Masters) - Bristol University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics

“First year Maths undergraduate at the University of Bristol. Looking to tutor Maths and Physics at GCSE and A-Level.”

MyTutor guarantee

You may also like...

Posts by Yaniv

Finding the derivative of a polynomial.

How do you invert a 2x2 matrix?

How do you solve the integral of ln(x)

How to determine the number of unique real roots of a quadratic equation.

Other A Level Further Mathematics questions

Prove that sum(k) from 0 to n is n(n+1)/2, by induction

What is sin(x)/x for x =0?

The cubic equation 27(z^3) + k(z^2) + 4 = 0 has roots α, β and γ. In the case where β=γ, find the roots of the equation and determine the value of k

How to use the integrating factor?

View A Level Further Mathematics tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss