instead of using AA, use A^{T}A, so you get a symmetric matrix.
Question 1
In each part, use the given inner product on to find ||w||, where w = (-1,3).
(a) the Euclidean inner product
(b) the weighted Euclidean inner product <u,v> = 3u_{1}v_{1} + 2u_{2}v_{2}, where u = (u_{1},u_{2}) and v = (v_{1},v_{2})
(c) the inner product generated by the matrix
Question 2
Show that <u,v> = 5u_{1}v_{1} - u_{1}v_{2} -u_{2}v_{1} + 10u_{2}v_{2} is the inner product on generated by
Attempt:
but i couldn't get the equation above. I suppose that the above formula only hold for diagonal matrix?