Question

Let A be a symmetric 2 \times 2 matrix and let k be a scalar. Prove that the graph of the quadratic equation x^T Ax=k is ,an ellipse, circle

Conic sections
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asked 2021-08-10
Let A be a symmetric \(\displaystyle{2}\times{2}\) matrix and let k be a scalar. Prove that the graph of the quadratic equation \(\displaystyle{x}^{{T}}\) Ax=k is ,an ellipse, circle, or imaginary conic if \(\displaystyle{k}\ne{q}{0}\) and det A > 0
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2021-08-11
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