What are the gradient and the determinant of the Hessian of the function f(x, y ) = x2 y 2 at its global optimum?

Related MCQs

• Determine the determinant of hessian of the function 2x2-2y2 − 4y +6 at point (0, 0)?
• A positive definite Hessian fulfils the second-order conditions for
• A negative definite Hessian fulfils the second order conditions for
• If the rows and columns of a determinant are interchanged, its value will:
• The determinant that results when the row and column in which that element lies are deleted is called:
• The determinant of matrix =4 6 3 8 is:
• If all the elements of any row or column are zero, the determinant is zero.
• An initial estimate of an optimal solution is given to be used in conjunction with the steepest ascent method to determine the maximum of the function. Which of the following statements is correct?
• Determine the minimum of the function f(x,y)= x2+y 2 ? Use the point (2, 1) as the initial estimate of the optimal solution. Conduct one iteration.
• A diagonal matrix with all its diagonal elements equal to 1 is known as: