I'm stuck on a Inner Product question:
Calculate the distance (non squared) between $x=[4 2 1]$ and $y=[0 1 0]$
using inner product defined as
Can someone kindly help with the solution?
2026-04-07 20:57:51.1775595471
Calculate Distance (Not Squared) between two vectors using Inner Product
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Hint: One you have computed the vector $v = x - y$, compute the square of the distance as $$ \|x - y\|^2 = \|v\|^2 = \langle v,v \rangle = v^T\pmatrix{2&1&0\\1&2&-1\\0&-1&2}v. $$ Because this is the square of the distance, you must find the square root of the resulting number to get your answer.