Given the quadratic form Q(z, y, z) = k(x +y +z)+ ry+ yz, where k is...

 

Transcribed Image Text:

Given the quadratic form Q(z, y, z) = k(x² +y +z)+ ry+ yz, where k is a real number. Which of the following statements is False? Select one: There is no non-symmetric matrix B such that Q(v) = v Bv. O b. The quadratic form Q is positive definite for k>-? V2 O c. The quadratic form Q is positive definite for k > O d. Q(v) = v" Av with A a symmetric matrix and v = Given the quadratic form Q(z, y, z) = k(x² +y +z)+ ry+ yz, where k is a real number. Which of the following statements is False? Select one: There is no non-symmetric matrix B such that Q(v) = v Bv. O b. The quadratic form Q is positive definite for k>-? V2 O c. The quadratic form Q is positive definite for k > O d. Q(v) = v" Av with A a symmetric matrix and v =