Scotland captain Stuart Hogg was positively beaming as he spoke post-match. "That was brilliant, I loved it", he tells Amazon Prime.

"How good was it to have a full Murrayfield? For me, there's no better feeling than winning here. I said to the boys that the job's only half done. We're two games in with two wins, and it's about backing it up next week."

[On the set-piece]: "We back the boys up front to do their job, they gave us a great platform. The exciting thing is that we can get better both at set-piece and in open play."

Image source, SNS

Time to wind down now. Scotland need to go again at Murrayfield in six days and next up are South Africa, the world champions.

We'll have more text updates from that one.

Meanwhile, I'll leave you with the words of a happy captain...

Scotland head coach Gregor Townsend tells Amazon Prime: "In the coaching box, we were a bit emotional at the end.

"To get this victory was for the fans. It wasn't the best of games, but the resolve the players showed and the impact the bench made was tremendous. At half-time we knew we hadn't played our best rugby, but there was a fire about us in that second half which was great to see, and there was an edge to our set-piece."

A word for referee Romain Poite, who was overseeing his last ever Test match.

The players formed a guard of honour for the Frenchman at the end there and he hid his face with the ball, perhaps not wanting to blub on the telly.

Here are the full-time stats, but it's not really a day to dwell on those, is it? With both sides not quite on it, this was all about heart and dig in defence.

Image source, BBC Sport

Man of the match Hamish Watson could barely hear the questions posed to him amid the din, but had this to say to Amazon Prime: "To have 67,000 back at Murrayfield is absolutely amazing. We've waited a long time for this, a really special day."

"We had to dig deep, Australia are a class side, the in-form team in world rugby, so we knew we'd have to work really hard. Something special is building here! It was a nervy last 10 minutes on the bench, but the fans got us through."

Image source, SNS

Australia's five-match winning run is over. Dave Rennie's side must lift themselves for a go at England at Twickenham next Saturday.

Scotland are at home to world champions South Africa on the same day.

It's been a long time since Murrayfield was last full like this - more than 20 months - and the crowd are lapping up that win, giving the Scotland team a rapturous round of applause.

There will be a lot of tired legs and aching arms in the home dressing room. A lot of smiles too.

Finn Russell's penalty made the difference on a tense afternoon...

Neither side really got going, but Scotland probably just about deserved to shade it.

Image source, SNS

Scotland collect the line-out and George Horne gleefully thumps the ball out of play.

That's three wins in a row for Scotland against Australia.

It's frantic out there and a penalty comes Scotland's way as we enter the final minute. That should do it...

Finn Russell goes long into touch.

Wait a minute, a reprieve for Australia as Ewan Ashman loses his cool, but the Aussies can't find touch. A huge blunder from James O'Connor!

A thrilling break from Scotland, with Stuart Hogg and George Horne leading the way. The hosts are at the right end of the pitch now.

Andy Burke
BBC Scotland rugby reporter at Murrayfield

It's said that autumn Tests represent peace time rugby compared to the war that is the Six Nations. Try telling that to the thousands of fans here at Murrayfield who are willing their team onto victory (they hope).

These last five minutes are a huge test of this Scotland team's mettle. Just what are they made of?

Two points in it as the clock ticks down. Scotland definitely have the edge in terms of momentum but it's anyone's game at this late stage.

'Nothing daft' has to be the message...

And now Adam Hastings is on, taking over from centre Sam Johnson, who has put in a power of work.

Another Scotland debutant enters the fray as Josh Bayliss takes over from Hamish Watson.

A change at scrum-half too as George Horne replaces Ali Price.

And here's a look at that wonderful score from Ewan Ashman.

Image source, SNS

Another Scotland penalty from a scrum, that's the fourth, and Finn Russell thumps over the penalty.

Not exactly magic but it will do...