Math CentralQuandaries & Queries


Question from Nazrul, a teacher:

Given that a and b are two non zero vectors and ma+nb=0 where m and n are two scalars. How can I prove that m=n=0.

In general you cannot. The nonexistence of solutions in which m and n are nonzero is (by definition) equivalent to the linear independence of the vectors. Any method that establishes linear independence of a and b also established that m=n=0.

Good Hunting!


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