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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

2 months ago

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

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Joshua B.

Degree: Mathematics (Masters) - Durham University

Subjects offered: Further Mathematics , Maths

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Degree: Electrical and Electronic Engineering (Masters) - Bristol University

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“About Me: I am currently a third year Electrical and Electronic engineering undergraduate at the University of Bristol. I have always enjoyed taking mathematics and further mathematics as I look forward to tackling problems with nume...”

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Degree: Civil Engineering (Masters) - Bristol University

Subjects offered: Further Mathematics , Science+ 3 more

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“My name is Jamie and I am a 4th year Civil Engineering Student at Bristol University. I also spent my year abroad at McGill University in Canada. I have a real passion for Maths and Science, and love toshare this passion with my stude...”

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Larry R.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered: Further Mathematics , Maths

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“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...”

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