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Home » To determine the type of conic, compute the discriminant: - Baxtercollege

To determine the type of conic, compute the discriminant: - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Find the eigenvalues of the matrix \( egin{bmatrix} 4 & 1 \ 2 & 3 \en...
The eigenvalues \( \lambda \) are found by solving the characteristic...
\[ \det(A - \lambda I) = 0 \]
For matrix \( A = egin{bmatrix} 4 & 1 \ 2 & 3 \end{bmatrix} \), the c...
\[ \det egin{bmatrix} 4 - \lambda & 1 \ 2 & 3 - \lambda \end{bmatrix}...
\[ (4 - \lambda)(3 - \lambda) - 2 \cdot 1 = 0 \]
\[ (4 - \lambda)(3 - \lambda) - 2 = 0 \]
\[ (12 - 4\lambda - 3\lambda + \lambda^2) - 2 = 0 \]
\[ \lambda^2 - 7\lambda + 10 = 0 \]
\[ \lambda = rac{7 \pm \sqrt{(-7)^2 - 4 \cdot 1 \cdot 10}}{2 \cdot 1}...

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