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Further Mathematics
All levels

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 (...

YP
5178 Views

Finding the derivative of a polynomial.

Take any polynomial, eg/ y=x3+1/2x2-3x+9. Then dy/dx=3x,+x-3, i...

YP
5501 Views

How do I do a proof by induction?

For this explanation we will use the following example from a 2013 exam paper:

   If u1= 2 and un+1=(5un-3)/(3un-1), then prove that un

SC
4127 Views

How do I differentiate tan(x) ?

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