Originally Posted by

**Dogod11** Hello everyone, this is the following:

Given the matrix

$\displaystyle \begin{bmatrix}{a}&{1}\\{0}&{3}\end{bmatrix} $ to determines the values of $\displaystyle a$ such that the vector $\displaystyle (7, 8)$ is an eigenvector of the matrix

I know the value found should be a multiple of the vector given, I have done this:

Multiplying

$\displaystyle \begin{bmatrix}{a}&{1}\\{0}&{3}\end{bmatrix}$*$\displaystyle (7, 8)$

get

$\displaystyle (7a + 8, 21)$

$\displaystyle (7a + 8, 21) = k(7, 8)$ , 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.