Multiple choice

The eigen values of matrix $\begin{bmatrix} \ 9 & 5 \ \ 5 & 8 \ \end{bmatrix}$ are

    • 2.42 and 6.86
  1. 3.48 and 13.53

  2. 4.70 and 6.86

  3. 6.86 and 9.50

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B Correct answer
Explanation

The eigenvalues are found by solving det(A - lambda*I) = 0. For the matrix [[9, 5], [5, 8]], the characteristic equation is (9-lambda)(8-lambda) - 25 = 0, which simplifies to lambda^2 - 17*lambda + 47 = 0. The roots are approximately 3.48 and 13.52.