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
4273 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸How to calculate the integral of sec(x)?
A=[5k,3k-1;-3,k+1] where k is a real constant. Given that A is singular, find all the possible values of k.
Find the general solution to f''(x)+ 3f'(x)+ 2f(x)=0
Does the following matrix A = (2 2 // 3 9) (upper row then lower row) have an inverse? If the matrix A^2 is applied as a transformation to a triangle T, by what factor will the area of the triangle change under the transformation?