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Comments
notion of curvature of quadratic form is used but not defined
The user selects two eigenvalues by selecting a point in the square \(-1<x<1\), \(-1<y<1\). The quadratic form \(\mathbf{x}'D\mathbf{x}\) is graphed, where \(D\) is the diagonal matrix whose entries are the selected eigenvalues. From the graph, one sees the connection between the eigenvalues and positive (negative) definite quadratic forms. The notion of the curvature of a quadratic form is used but not defined.
User can control the two eigenvalues
Shows the curvature of a quadratic form for a \(2 \times 2\) matrix. User can control the two eigenvalues which range between -1 and 1.