Question: True or false: If v1, v2, v3 are a basis for M3, then they form an orthogonal basis under some appropriately weighted inner product (v,

True or false: If v1, v2, v3 are a basis for M3, then they form an orthogonal basis under some appropriately weighted inner product (v, w) = a v1w1 + b v2w2 + c v3w3.

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