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
4192 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Calculate: ( 2+i√(5) )( √(5)-i).
How would go about finding the set of values of x for which x+4 > 4 / (x+1)?
You are given a polynomial f, where f(x)=x^4 - 14x^3 + 74 x^2 -184x + 208, you are told that f(5+i)=0. Express f as the product of two quadratic polynomials and state all roots of f.
Use De Moivre's Theorem to show that if z = cos(q)+isin(q), then (z^n)+(z^-n) = 2cos(nq) and (z^n)-(z^-n)=2isin(nq).