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Question 4 1 pts Two eigenvalues of a 3 x 3 matrix A are 1 = 3,4. Determine the third (integer) eigenvalue if det(A) = 60. == Question 5 1 pts A is a 2 x 2 real matrix. Choose the correct statement below. A can be diagonalized if it has 2 unit eigenvectors All two eigenvalues are distinct and the eigenvectors that correspond to distinct eigenvalues are orthogonal Eigenvectors that correspond to distinct eigenvalues are orthogonal Eigenvalues of A are the roots of a quadratic polynomial Question 7 1 pts х = Given a quadratic curve [ x y] A = 1, where A is a 2 x 2 symmetric y matrix. Choose the correct statement below. The curve can be diagonalized using an orthogonal transformation of coordinates. This is an ellispe if both eigenvalues of are negative and distinct. This is a hyperbola if both eigenvalues of A are positive. The curve can be diagonalized if the eigenvalues of the matrix A are distinct
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