6. Let Q(x) = 5x + 4x1x2 + 8x3. (a) (2 pts) Compute the value of Q(x) for x = -[3] (b) (4 pts) Write Q(x) as x Ax. (c) (
Posted: Wed May 04, 2022 11:12 am
6. Let Q(x) = 5x + 4x1x2 + 8x3. (a) (2 pts) Compute the value of Q(x) for x = -[3] (b) (4 pts) Write Q(x) as x Ax. (c) (12 pts) Make a change of variable, x= Py, that transforms Q(x) into a quadratic form with no cross-product term. (d) (4 pts) Determine whether Q(x) is positive definite, negative definite, or indefinite. State your reason.