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
4359 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸What's the best way to solve projectile problems in Mechanics?
How can we solve a limit having an indetermination of the type 0/0 or infinity divided by infinity?
Write down the equations of the three asymptotes and the coordinates of the points where the curve y = (3x+2)(x-3)/(x-2)(x+1) crosses the axes.
A line has Cartesian equations x−p = (y+2)/q = 3−z and a plane has equation r ∙ [1,−1,−2] = −3. In the case where the angle θ between the line and the plane satisfies sinθ=1/√6 and the line intersects the plane at z = 0. Find p and q.