This is played tuned one half step down.
The actual key is Eb but for more readable notation it is written in E.
In the pre-verse and verse you can either play the riff as notated or simplify it to Em F.
At the end of the chords there is the riff as tabbed by biebrich in this tab
https://tabs.ultimate-guitar.com/l/linkin_park/points_of_authority_tab.htm
Good luck.
[Intro]
Em
Em
Em
Em
[Pre-verse]
Em
Forfeit the game Before somebody else
F
Takes you out of the frame And puts your name to shame
Em
Cover up your face You can't run the race
F
The pace is too fast You just won't last
[Verse]
E5 D5 E5 D5 E5 D5 E5 F
You love the way I look at you
E5 D5 E5 D5 E5 D5 E5 F
While taking pleasure in the awful things you put me through
E5 D5 E5 D5 E5 D5 E5 F
You take away if I give in
E5 D5 E5 D5 E5 D5 E5 F
My life My pride is broken
[Chorus]
Em Fsus2
You like to think you're never wrong
(You live what you've learned)
Em Fsus2
You have to act like you're someone
(You live what you've learned)
Em Fsus2
You want someone to hurt like you
(You live what you've learned)
Em Fsus2
You want to share what you have been through
(You live what you've learned)
[Verse]
E5 D5 E5 D5 E5 D5 E5 F
You love the things I say I'll do
E5 D5 E5 D5 E5 D5 E5 F
The way I hurt myself again just to get back at you
E5 D5 E5 D5 E5 D5 E5 F
You take away when I give in
E5 D5 E5 D5 E5 D5 E5 F
My life my pride is broken
[Chorus]
Em Fsus2
You like to think you're never wrong
(You live what you've learned)
Em Fsus2
You have to act like you're someone
(You live what you've learned)
Em Fsus2
You want someone to hurt like you
(You live what you've learned)
Em Fsus2
You want to share what you have been through
(You live what you've learned)
[Pre-Chorus]
Em
Forfeit the game Before somebody else
F
Takes you out of the frame And puts your name to shame
Em
Cover up your face You can't run the race
F
The pace is too fast You just won't last
[Chorus]
Em Fsus2
You like to think you're never wrong
(You live what you've learned)
Em Fsus2
You have to act like you're someone
(You live what you've learned)
Em Fsus2
You want someone to hurt like you
(You live what you've learned)
Em Fsus2
You want to share what you have been through
(You live what you've learned)
[Chorus]
Em Fsus2
You like to think you're never wrong – Forfeit the game
(You live what you've learned)
Em Fsus2
You have to act like you're someone – Forfeit the game
(You live what you've learned)
Em Fsus2
You want someone to hurt like you – Forfeit the game
(You live what you've learned)
Em Fsus2
You want to share what you have been through
(You live what you've learned)
[Outro]
E5 D5 E5 D5 E5 D5 E5 F
The riff is this, as tabbed by biebrich in this tab:
https://tabs.ultimate-guitar.com/l/linkin_park/points_of_authority_tab.htm
[Intro]
Em
E|-----7-------7-------7-------7-------7-------7-------7-------7------------|
B|---8---8---8---8---8---8---8---8---8---8---8---8---8---8---8---8----------|
G|-9-------9-------9-------9-------9-------9-------9-------9----------------|
D|--------------------------------------------------------------------------|
A|--------------------------------------------------------------------------|
D|--------------------------------------------------------------------------|
E D F D E E F D E D F E D D F E D F D E E F D E D F
E|--------------------------------------------------------------------------|
B|--------------------------------------------------------------------------|
G|--------------------------------------------------------------------------|
D|-2-2-0h3-3-0h2-2h3-0h2-2-0h3-3-2-2-0-0h3--2-2-0h3-3-0h2-2h3-0h2-2-0h3-----|
A|-2-2-0h3-3-0h2-2h3-0h2-2-0h3-3-2-2-0-0h3--2-2-0h3-3-0h2-2h3-0h2-2-0h3-----|
D|-2-2-0h3-3-0h2-2h3-0h2-2-0h3-3-2-2-0-0h3--2-2-0h3-3-0h2-2h3-0h2-2-0h3-----|
[Verse]
E E F F D E E F D E E E F E D F
E|------------------------------------------|
B|------------------------------------------|
G|------------------------------------------|
D|2-2-2h3-3--0h2-2h3--0h2-2-2h3--x-2-x-0-x-3|
A|2-2-2h3-3--0h2-2h3--0h2-2-2h3--x-2-x-0-x-3|
D|2-2-2h3-3--0h2-2h3--0h2-2-2h3--x-2-x-0-x-3|(x5)
[Chorus]
E F E F E F E F E D F
E|---------------------------------------|
B|---------------------------------------|
G|----5-------5-------5-------5----------|
D|2---3---2---3---2---3---2---3---2--0--3|
A|2---3---2---3---2---3---2---3---2--0--3|
D|2---3---2---3---2---3---2---3---2--0--3|