Noting that 1n+1 show that the system of equations in Problem can be written in matrix form where Show that is positive definite by proving that T for all Hint: Show that T Multiply this out...

Noting that

<sub>1

n+1</sub>

show that the system of equations in Problem

can be written in matrix form

where

Show that

is positive definite by proving that

^T

for all



Hint: Show that

^T




Multiply this out and look for terms of the form

<sub>i+1

i</sub>

²