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

[masterwu]

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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:

5x + 2y + 11z = 45
2x - y + 5z = 15
-3x + 3y + az = b

and determine the values for a and b, 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.

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