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emma3216
10.11.2020 •
Mathematics
Angle DEC=
Angle CDE=
Angle ECD=
Angle DFE=
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Ответ:
Step-by-step explanation:
The given quadratic form is of the form
Where
.Every quadratic form of this kind can be written as
Observe that
is a symmetric matrix. So
is orthogonally diagonalizable, that is to say,
where
is an orthogonal matrix and
is a diagonal matrix.
In our case we have:
The eigenvalues of
are
.
Every symmetric matriz is orthogonally diagonalizable. Applying the process of diagonalization by an orthogonal matrix we have that:
Now, we have to do the change of variables
to obtain
Which can be written as: