MYTUTOR SUBJECT ANSWERS

133 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

3 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

62 SUBJECT SPECIALISTS

£30 /hr

Chris S.

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered: Further Mathematics , Spanish+ 1 more

Further Mathematics
Spanish
Maths

“ I am extremely passionate about mathematics and I love the Spanish language! ”

£20 /hr

Alexandra L.

Degree: Aeronautical and Aerospace Engineering (Bachelors) - Leeds University

Subjects offered: Further Mathematics , Physics+ 2 more

Further Mathematics
Physics
Maths
Chemistry

“About Me I’m an Aerospace Engineering student at Leeds University. I have long loved tinkering and seeing how things work; to me, science is just the formal extension of this curiosity. Throughout sixth form I helped run the school ...”

£20 /hr

George S.

Degree: Physics (Masters) - Birmingham University

Subjects offered: Further Mathematics , Physics+ 2 more

Further Mathematics
Physics
Maths
.PAT.

“About Me: I am just entering my first year to study Physics at University of Birmingham, I've always enjoyed anything maths based hence my A-level choices, I hope I can help you through your work whether it's GCSE or A-level and maybe...”

MyTutor guarantee

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

How to use the integrating factor?

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

find general solution to: x(dy/dx) + 2y = 4x^2

Integrate cos(4x)sin(x)

View A Level Further Mathematics tutors

Cookies:

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

mtw:mercury1:status:ok