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Mathematics II. (TTMBE0809_EN/TTMBE0811/TTMBE0803_EN/TTMBE0823_EN) 24/25-2.
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The function is continuous at if and only if one of its coordinate functions is continuous .
For the distance function we have if and only if is orthogonal to .
If a vector system is a basis, the it is necessarily an orthonormal basis.
One has the following relationship between the scalar product and the norm: .
If is a linear transformation, then it has at least one eigenvalue.