Compute the maximum and minimum values attained by the quadratic form , where
subject to the constraint , and determine a unit vector where each extremum is
Maximum = 6 is attained at
Minimum = -4 is attained at
Find the maximum value for the quadratic form corresponding to the matrix and
the vector you computed above, subject to and .
Maximum = -4 is attained at
Find the maximum value for the quadratic form:
, subject to .
Maximum = .
Given the orthogonal diagonalization of below:
Find the unit vector at which the quadratic form attains its maximum subject to .
Then find the unit vector at which attains its maximum subject to both and