MT Exercise-2-정태일


Exersice 2)

Let  be a quadratic form on  and let   be the matrix representing  with respect to the basis

.

1) Diagonalize , i.e., find an orthogonal matrix  so that  is a diagonal matrix.

2) Construct a basis    for   such that elements of   are the principal axes of the quadratic surface .

Sol)

1)




2) Look at the principal axes theorem.




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