Given a real nxn symmetric and non-positive definite matrix, . . .

1. Dec 18, 2007

kholden

let B be a nXn real symmetric and non-positive definite matrix. Show that (x^TBx)^1/2 is not a norm on R^n.

2. Dec 19, 2007

HallsofIvy

Staff Emeritus
Check to see if it satisfies all the requirements for a norm.

Last edited: Dec 19, 2007
3. Dec 19, 2007

kholden

how do you check o? i honestly have no idea how to do the problem.

4. Dec 19, 2007

morphism

Read the definition of "norm" and check to see if this satisfies it.