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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
- No unique solutions in the system (i.e. the planes do not meet at a point)
- A infinite number of solutions (i.e. the planes share a common intersecting line)
- No solutions (i.e. the planes do not share a common intersecting line)
This is question 2 from the AQA MFP4 June 2017 Paper.
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Please ask me a maths question by commenting below and I will try to help you in future videos.
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