MYTUTOR SUBJECT ANSWERS

293 views

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]).

Larry R. A Level Maths tutor, A Level Further Mathematics  tutor

7 months ago

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


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

87 SUBJECT SPECIALISTS

£20 /hr

Luke B.

Degree: Mathematics (Masters) - Sheffield University

Subjects offered:Further Mathematics , Maths+ 3 more

Further Mathematics
Maths
.STEP.
.MAT.
-Personal Statements-

“I am a fun, engaging and qualified tutor. I'd love to help you with whatever you need, giving you the support you need to be the best you can be!”

£24 /hr

Ellie B.

Degree: Mathematics (Masters) - York University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“I study Maths at York University; I chose York because I loved the lecturers, they made maths fun and easy- that's what I hope to do with all my students!”

£22 /hr

Max G.

Degree: Mathematics and Physics (Masters) - Durham University

Subjects offered:Further Mathematics , Physics+ 1 more

Further Mathematics
Physics
Maths

“I am a maths and physics student at the University of Durham, for as long as I can remember i have been obsessed with all things science! I am patient, friendly and most of all understanding to the fact that the sciences aren't for ev...”

About the author

£20 /hr

Larry R.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered:Further Mathematics , Maths

Further Mathematics
Maths

“I am a Mathematics student at Warwick University. My enthusiasm for all things mathematical has no bounds and it's not just Maths that interests me but also the way that people learn it.  I am patient and friendly. Over the last few y...”

You may also like...

Posts by Larry

Find the derivative of f where f(x)=a^x.

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

Other A Level Further Mathematics questions

Prove e^(ix) = cos (x) + isin(x)

Find the general solution to the second order differential equation x'' - 2x' + x = e^(2t).

How do I solve x^2 + x - 6 > 0 ?

Write 1 + √3i in modulus-argument form

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

mtw:mercury1:status:ok