Prove $\det (A)\le \left(\max_{i,j}|A_{ij}|\right)^n n^{n/2}$

60 Views Asked by At

Prove $\det (A)\le \left(\max_{i,j}|A_{ij}|\right)^n n^{n/2}$

How do I prove this as an extension of the Hadamard Inequality? This expression is given as a corollary of the Hadamrd inequality in multiple places, but I'm not able to prove it.