[DTube] Linear systems - 3 Intersecting Planes - No unique solutions by masterwu

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· @masterwu · (edited)
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[DTube] Linear systems - 3 Intersecting Planes - No unique solutions
<center><a href='https://d.tube/#!/v/masterwu/lbeqxvw1'><img src='https://ipfs.io/ipfs/Qmcfyx9PuM8awMSftSFDRTMsuxeN1jZFSiqfNp7mmNY7xY'></a></center><hr>

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain.

In this video, we solve a linear system of equations for 3 planes:

5<em>x</em> + 2<em>y</em> + 11<em>z</em> = 45
2<em>x</em> - <em>y</em> + 5<em>z</em> = 15
-3<em>x</em> + 3<em>y</em> + <em>az</em> = <em>b</em>

and determine the values for <em>a</em> and <em>b</em>, such that we have

1) No unique solutions in the system (i.e. the planes do not meet at a point)
2) A infinite number of solutions (i.e. the planes share a common intersecting line)
3) No solutions (i.e. the planes do not share a common intersecting line)

This is question 2 from the AQA MFP4 June 2017 Paper.

Thanks for watching. Please give me a "thumbs up" if you have found this video helpful.

Please ask me a maths question by commenting below and I will try to help you in future videos.

<hr><a href='https://d.tube/#!/v/masterwu/lbeqxvw1'> ▶️ DTube</a><br /><a href='https://ipfs.io/ipfs/QmUGNeMA4LDgpYZ8wqpiuT8CnK4DkopBuACR2krmHQcriz'> ▶️ IPFS</a>
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