Find the inverse of the general 2x2 matrix A= ([a, b],[c, d]) when does this inverse exist?

This is a typical further maths question, doing it correctly is a matter of carrying out a two-step process. 

Start by finding the determinant of the matrix,

det(A)=ad-bc

Then swap the entries a d and negate the other entries. After dividing by the determinant the inverse of A is given.

A^-1=1/(ad-bc)([d -b],[-c, a]).

LR
Answered by Larry R. Further Mathematics tutor

3176 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Find the general solution of the second order differential equation y''(t)+y(t) = 5exp(2t)


Calculate the value of the square root of 3 to four decimal places using the Newton-Raphson process


Find the vector equation of the line of intersection of the planes 2x+y-z=4 and 3x+5y+2z=13.


How do I sketch the locus of |z - 5-3i | = 3 on an Argand Diagram?


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning