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

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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

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