Symmetric Matrices in n Dimensions
In the cases of dimensions 2 and 3, we have seen that a special role is played by symmetric matrices, those matrices that are equal to their own transposes. The same definition works in ℝ n for n ≥ 4, and as in the case of lower dimensions, these matrices have special properties that make them particularly valuable in the analysis of quadratic forms.
KeywordsOrthonormal Basis Characteristic Equation Linear Transformation Linear Algebra Unit Sphere
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