Suppose is the quadratic form Q = x¹ Ax, where A is the symmetric matrix A =The quadratic form is positive definite when c >The quadratic form is positive semi-definite when cThe quadratic form is indefinite when |c| <The quadratic form is negative semi-definite when c <- (22) andThe quadratic form Qis negative semi-definite when c<and x =(21).

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uppose is the quadratic form Q = x Ax, where A is the symmetric matrix A = 2 he quadratic form is positive definite when c> he quadratic form is positive semi-definite when c> he quadratic form Qis indefinite when |c| < he quadratic form is negative semi-definite when c < he quadratic form Q is negative semi-definite when c< II N c) and x = X2