If v * A=v * B for all v, does it imply A=B? Can there be a simple proof for this?

Braylon Lester

Braylon Lester

Answered question


If v A = v B for all v , does it imply A = B ? Can there be a simple proof for this?

Answer & Explanation



Beginner2022-07-17Added 15 answers

v A = v B implies v ( A B ) = 0. Then take v = ( A B ) to obtain A B 2 = 0 and hence A = B
Provided of course that by ⋅, you mean an inner product!

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