A transformation : is represented by the matrix .
There is a line through the origin for which every point is mapped onto itself under .
Find the cartesian equation of this line.
I have already worked out the two eigenvalues for this matrix, 1 and -6.
Forming the equation:
Where are my respective eigenvalues.
The question I have is which on do I use, using 1 I get and using -6 I get .
My answers tell me that;
So 1 is the value I should use, but what exactly does the above expression mean?is associated with point invariant line
Thanks in advance