Every fingering that fits a hand
546400
moderate
546600
moderate
506604
moderate · no 5
x06604
easy · no 5
x02424
moderate
What is true of it
Amaj9 is A, C♯, E, G♯ and B — 1, 3, 5, 7 and 9 counted from A.
On an instrument that cannot reach all 5, the 5 and 1 go first, in that order.
The easiest of the 5 fingerings below is 546400: 4 fingers, held at the 4th fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
Where its notes are on the neck
The brass dots are A, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Amaj9/C♯
x42100
Amaj9/E
006604
Amaj9/G♯
406600
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.