Any system of n linear equations in n variables has at most n solutions. A system can have infinitely many solutions if the determinant is zero, right?

Ramiro Wise

Ramiro Wise

Answered question

2022-11-25

Any system of n linear equations in n variables has at most n solutions. A system can have infinitely many solutions if the determinant is zero, right?

Answer & Explanation

Garagozzodgc

Garagozzodgc

Beginner2022-11-26Added 9 answers

You're right; this is false. It's enough to have a counter-example such as
x + y = 0 2 x + 2 y = 0

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