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ml-recall

#random-matrices

1 question from Linear Algebra

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Question 1: Short answer

mediumAI-checkedLinear Algebra

You sample a 10,000×10,00010{,}000 \times 10{,}000 matrix whose entries are independent standard normal numbers. Its spectral norm (largest singular value) is approximately α dβ\alpha\, d^{\beta} with d=10,000d = 10{,}000. What is its approximate value?

a number, rounded to the nearest 10