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

[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.

 

[HallsofIvy]

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

 

[kholden]

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

 

[morphism]

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