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Can i Find the Matrix from Eigenvalues and Eigenvectors?

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If i given eigenvector: $$V_1=\begin{pmatrix} {1\over \sqrt{3}}\\{1\over \sqrt{3}}\\{1\over \sqrt{3}}\end{pmatrix} , V_2=\begin{pmatrix} {1\over \sqrt{6}}\\{-2\over \sqrt{6}}\\{1\over \sqrt{6}}\end{pmatrix} Space:\lambda=1 \\ V_3=\begin{pmatrix} {1\over \sqrt{2}}\\0\\{1\over \sqrt{2}}\end{pmatrix}Space: \lambda = 3$$

  • I know finding eigenvectors from matrix but how can i find Matix from those given vectors and $\lambda$s ?
  • Are those vectors orthonormal? (what are the properties of orthonormality ?)

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