Andrew McGlashan is a deputy editor at ESPNcricinfo
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Australia 149 for 2 (McGrath 60*, Healy 56) beat West Indies 147 for 3 (Matthews 99*) by eight wickets
On a stifling hot spring day, an exhausted Matthews was left stranded on 99 when she could only gather singles in the final over as her exertions took a toll but it had been a statement innings from the captain who had spoken of wanting to lead from the front.
However, West Indies' total of 147 was put into context on a traditionally high-scoring ground by the way Healy and Tahlia McGrath dismantled the target with 40 balls to spare.
Beth Mooney fell in the third over when she chipped to mid-off but Healy and McGrath feasted on West Indies' bowling in a stand of 85 off 40 balls with the pair hitting six sixes between them.
Healy raced to her half-century by taking 14 off Zaida James' first over although had been given lives on 27 and 48. Both were regulation chances: the first by Matthews at cover and the second by Shemaine Campbelle which struck her in the face causing an injury.
McGrath was only fractionally slower, needing just 26 balls for her fifty as she took three boundaries in an over off Shamilia Connell.
In the closing stages of the chase, Aaliyah Alleyne was withdrawn from the attack for two beamers at McGrath and Ash Gardner.
It was a more polished display with the bat by Australia than it had been in the field which included two drop catches - by Georgia Wareham and Phoebe Litchfield - and a couple of misfields on the boundary.
Matthews' innings was the highest score for West Indies against Australia in any format. It continued an impressive year in which she has averaged over 40 in T20Is and she had entered this series on the back of a player-of-the-match performance in the WCPL final.
She was quickly above a run-a-ball and took on Darcie Brown in an absorbing battle as the Australia pace bowler pushed the speed gun towards 120kph. Matthews drove through cover, pulled a flat six over deep square leg then edged wide of slip before Brown clanged her on the helmet with a short ball.
Her fifty came up from 36 deliveries and moments later she added another six off the expensive Brown with disdainful flick over backward square.
As brilliant as Matthew was, however, her team-mates struggled to match her. The combined tally of the other batters was 30 off 49 balls. Opener Shabika Gajnabi soaked up six deliveries before dragging on against Brown and Stafanie Taylor laboured to 10 off 20 in a stand of 68 before being run out by a direct hit from Litchfield at cover.
Campbelle also lagged behind Matthews' tempo although did manage the biggest strike of the innings when she launched McGrath out of the group over deep midwicket.
Megan Schutt, in her 100th T20I, was the pick of the Australia attack with just 15 runs from her four overs (and 11 of those came off her last) and the spell also included a maiden.