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I got an example here from math stack exchange it uses matrices to determine whether the equation has unique or infinite solution. Is there any shortcut way to determine the same without having to take the matrices track? Can you post a reference to such shortcut solution?

Shaikh Sakib
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    Short answer: no. Slightly longer answer: I've never heard of any more efficient methods. Such methods would be of extreme interest to a lot of people, so I highly doubt they exist (or, they're complex enough that you'd only get a very slight gain for extremely large cases). – Theo Bendit Jan 04 '19 at 07:51
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    Also, don't be afraid of matrices. It's just standard elimination techniques (which are more efficient than substitution) written with a minimum of notation. – Theo Bendit Jan 04 '19 at 07:53

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