If is twice differentiable, concave and homogeneous of degree 1, then the Hessian matrix of is
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DSE 2007 Question 15: Multivariable calculus
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If f:ℜⁿ→ℜ is twice differentiable, concave and homogeneous of degree 1, then the Hessian matrix of f is (A) negative definite (B) positive definite (C) singular (D) non-singular
Also written as: If f: Re^n-> Re is twice differentiable, concave and homogeneous of degree 1, then the Hessian matrix of f is
Multivariable calculus has come up 32 times in 7 exams since 2007.
What this question tests
This question is on Homogeneous functions and Euler's theorem, part of Multivariable calculus in Mathematics.
Functions that scale in a fixed way when all inputs scale, and the identity this gives.
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Question from the DSE 2007 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.