Homework Statement
Find a basis for the following vector space:
The set of 2x2 matrices A such that CA=0 where C is the matrix : 1 2
3 6
The Attempt at a Solution
I multiplied C by a general 2x2...
Homework Statement
Find the coordinates of the stationary points on the curve:
x^3 + (3x^2)(y) -2y^3=16
Homework Equations
Stationary points occur when the first derivative of y with respect to x is equal to zero
The Attempt at a Solution
I implicitly differentiated the...
Homework Statement
Homework Equations
Sum of roots taken one at a time is -b/a
Sum of roots taken two at a time is c/a
three at a time is -d/a
four at a time is e/a
The Attempt at a Solution
I did part one by solving the two equations...
Use De Moivre's Theorem to show that for any n greater that equal to 1
(1+itanθ)n + (1-itanθ)n =2cosnθ/cosnθ
where cosθ ≠ 0
I tried to approach this by converting into modulus argument form but wasn't really sure if that was correct. It's a common New South Wales HSC question but I...