How do you invert a 2x2 matrix?

Take a matrix A=(acbd), where a,b,c,d are numbers.

First find the determinant. This is ad-bc.

Now, rearrange the matrix to become (d-c-ba). Divide this by the determinant, to have A-1=1/(ad-bc)(d-c-ba). This is the inverse of A.

YP

Related Further Mathematics A Level answers

All answers ▸

Given that f(x)=2sinhx+3coshx, solve the equation f(x)=5 giving your answers exactly.


How do I apply mathematical induction to answer questions


Find the vector equation of the line of intersection of the planes 2x+y-z=4 and 3x+5y+2z=13.


Using the substitution u = ln(x), find the general solution of the differential equation y = x^2*(d^2(y)/dx^2) + x(dy/dx) + y = 0