Consider the function V(x, y) = 7 + $\alpha$xy + 5 , where $\alpha$ is a real number.Which of these statements is true? A) V(x, y) is negative definite, for every nonzero real number $\alpha$. B) V(x, y) is positive definite, for every nonzero real number $\alpha$. C) V(x, y) is negative definite, for every real number $\alpha$ for which 140. D) V(x, y) is positive definite, for every real number $\alpha$ for which

Question

Consider the function V(x, y) = 7  + $\alpha$xy + 5  , where $\alpha$ is a real number.Which of these statements is true?
A) V(x, y) is negative definite, for every nonzero real number $\alpha$. 
B) V(x, y) is positive definite, for every nonzero real number $\alpha$. 
C) V(x, y) is negative definite, for every real number $\alpha$ for which > 140. 
D) V(x, y) is positive definite, for every real number $\alpha$ for which < 140.

Quizplus · Accepted Answer

The Answer of Consider the function V(x, y) = 7  + $\alpha$xy + 5  , where $\alpha$ is a real number.Which of these statements is true?
A) V(x, y) is negative definite, for every nonzero real number $\alpha$. 
B) V(x, y) is positive definite, for every nonzero real number $\alpha$. 
C) V(x, y) is negative definite, for every real number $\alpha$ for which > 140. 
D) V(x, y) is positive definite, for every real number $\alpha$ for which < 140.

Consider the Function V(x, Y) = 7 α\alphaα Xy + 5 , Where

Consider the Function V(x, Y) = 7 $\alpha$ Xy + 5 , Where