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Apr 30, 2017 at 22:04 comment added Chaitanya Murthy @JoeSilverman Thanks for pointing that out. My notation was indeed complete garbage earlier, and not what I intended.
Apr 30, 2017 at 21:47 history edited Chaitanya Murthy CC BY-SA 3.0
deleted 2 characters in body
Apr 30, 2017 at 21:39 history edited Chaitanya Murthy CC BY-SA 3.0
corrected nonsensical statement
Apr 29, 2017 at 23:07 comment added Joe Silverman Your notation indicates that the values $(v,w)_A$ are in $\mathbb R_{>0}$, which is nonsense for a bilinear form. So remove the $>0$ from the notation, and just state that $A$ is positive definite.
Apr 29, 2017 at 19:26 history edited Chaitanya Murthy CC BY-SA 3.0
made actual question clear
Apr 29, 2017 at 18:54 history edited Chaitanya Murthy CC BY-SA 3.0
rephrased question to emphasize geometric aspect, rather than matrices.
Apr 29, 2017 at 9:42 history edited Chaitanya Murthy CC BY-SA 3.0
added 178 characters in body
Apr 29, 2017 at 9:27 history asked Chaitanya Murthy CC BY-SA 3.0