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
4398 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Using a Suitable substitution or otherwise, find the differential of y= arctan(sinxcosx), in terms of y and x.
Integrate ln(x) with respect to x.
Prove by induction that f(n) = 2^(k + 2) + 3^(3k + 1) is divisible by 7 for all positive n.
write the sum cos(x)+cos(2x)+...+cos(nx) as a quotient only involving sine and cosine functions