Solved

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

Question 66

Multiple Choice

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