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Why does the determinant of the Hessian Matrix tell you concavity of a function? I get...

Why does the determinant of the Hessian Matrix tell you concavity of a function? I get that 2nd derivatives are used for conavity and understand why in single variable calculus, but when put into a matrix and then taking a deterkinant I dont see how it connects to concavity.
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Answer #1
  • The determinant of the Hessian Matrix tell you concavity of a function.
  • 2nd derivatives are used for conavity and understand why in single variable calculus
  • when put into a matrix and then taking a deterkinant One can see how it connects to concavity.
  • The determinant of the Hessian Matrix tell you concavity of a function.
  • 2nd derivatives are used for conavity and understand why in single variable calculus
  • when put into a matrix and then taking a deterkinant One can see how it connects to concavity.
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