I have been given 2 matrices $A_1 $ and $A_2$
$$A_1 = \begin{pmatrix} -3 & -3 & 4 \\ 4 & 4 & 5 \\ 1&1&-1 \end{pmatrix} $$ $$ A_2 = \begin{pmatrix} -1 & -3 & 4\\ 4&6&-5 \\ 1&1&1 \end{pmatrix}$$
I was asked to calculate the eigenvalues of each of these matrices which I found to be $\lambda_1 = 0 $ for $A_1$ and $\lambda_2 = 2$ for $A_2$
I was then asked to identify the connection between the 2 matrices which I have said $A_1 = (A_2 - 2I)$, however the second part of this question asks: Does the connection explain the connection between the eigenvalues of $A_1$ & $A_2$?
I'm not certain about what would be deemed a sufficient answer to this question, would it be enough to mention that $\lambda_1 = \lambda_2 - 2 $ ?