Question

Construct the canonical form from.the quadratic form using orthogonal transformation.
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Answer 1

Answer:

Do you mean "canonical form of quadratic form" = only ±1,0 on the main diagonal, or "canonical form" = diagonal form with eigenvalues on the main diagonal? Many times the first want is what is meant with quadratic forms, e.g. in Sylverster's Law of Inertia, yet sometimes it is enough with the "usual* diagonalization. Both cases are nasty this times, though...In fact, it seems it is unusually nasty!