You've started correctly. One math error, it should be
(7a+8,24)=k(7,8).
Then:
7a+8 = 7k
24 = 8k.
Solve for k (2nd eqn), then solve for a(1st eqn).
Hello everyone, this is the following:
Given the matrix
to determines the values of such that the vector is an eigenvector of the matrix
I know the value found should be a multiple of the vector given, I have done this:
Multiplying
*
get
, where k is the value to establish multiple.
I do not know how to finish the exercise.
I appreciate your help,
or if someone tells me if there is another way to do it.