Quantitative Analyst Intern Interview Questions

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You have a function F that computes the product of matrices. If X is MxN matrix and Y is NxK matrix then F(X,Y) is going to output matrix product X*Y and take MxNxK nanoseconds. You need to calculate a product of five matrices, P=A*B*C*D*E. The dimensions of the matrices are as follows: A is 2x100, B is 100x10, C is 10x10, D is 10x100, and E is 100x2. How many nanoseconds does it take to calculate P in the fastest way possible using only function F?
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Quantitative Researcher

Interviewed at WorldQuant

4.2
Dec 21, 2015

You have a function F that computes the product of matrices. If X is MxN matrix and Y is NxK matrix then F(X,Y) is going to output matrix product X*Y and take MxNxK nanoseconds. You need to calculate a product of five matrices, P=A*B*C*D*E. The dimensions of the matrices are as follows: A is 2x100, B is 100x10, C is 10x10, D is 10x100, and E is 100x2. How many nanoseconds does it take to calculate P in the fastest way possible using only function F?

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