Matrices
Find the angle of rotation for the following matrix rotations
State what each of the determinants will be of the above matrices, and explain why this will be the case
Invariance
Find the invariant points of the matrix
Proof by induction
Prove that 
Complex numbers
Write the following complex numbers in Modulus-Argument form
a)
b)
c)
Root transformation
a)
Consider the roots of the equation 
Write down expressions for:
Write
down an equation with roots of the form 
which you should simplify
More roots
Find all three roots of the equation 
and represent all three roots on an Argand diagram.
Prove that the three roots form an
equilateral triangle
Solve the equation: 