Given that M =
and that the eigenvalues of M are 1 and -6
A transformation T:R^2 -> R^2 is represented by the matrix M. There is a line through the origin for which every point on the line is mapped onto itself under T.
How do I find a cartesian equation of the line
The mark scheme says “stating, implying or showing λ = 1 associated with point invarient line). Why is this? Why shouldn’t λ = -6...............
Turn on thread page Beta
transformations and matrices P6 Q watch
- Thread Starter
- 27-06-2005 09:30
- 27-06-2005 09:35
You want Mv = v, which means the eigenvalue (the coefficient of v on the RHS) should be 1.
- 27-06-2005 11:01