Let {v_1,v_2,v_3,v_4} be a vector basis of RR^4 and A a constant matrix of RR^(4 xx 4) so that: Av_1=-2v_1,Av_2=-v_1,Av_3=3v_4,Av_4=-3v_3 Can I find the eigenvalues of the matrix A? I know that lambda_1=−2 is a trivial eigenvalue but I don't know how to calculate the others.

Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix
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b) ${\displaystyle f\left(n\right)=\sqrt{n^2+1}}$. 
c) ${\displaystyle f\left(n\right)=\frac{1}{n^2-4}}$.

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