Let $A$ be a matrix.
Let $\sigma_{\text{min}}(A)$ be the minimal singular value of $A$, and $\lambda_{\text{min}}(A)$ be the minimal eigenvalue of $A$.
Show we have this inequality :
$$\sigma_{\text{min}}(A) < |\lambda_{\text{min}}(A)|$$
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1What have you tried so far ? Could you also give the definitions of eigen/singular values you are using ? – P. Quinton Nov 02 '18 at 14:13
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1You might want to add a bit of MathJax to your post, by adding $....$ around your math. – Babelfish Nov 02 '18 at 14:15