Math  /  Linear Algebra

Question Find the eigenvalues of the 2×22 \times 2 matrix A=[3018]A = \left[\begin{array}{cc}3 & 0 \\ -1 & 8\end{array}\right].

Studdy Solution
Solve for λ\lambda in each equation.
λ=3orλ=8\lambda = 3 \quad \text{or} \quad \lambda = 8
The eigenvalues of matrix AA are λ=3\lambda = 3 and λ=8\lambda = 8.
Therefore, the correct answer is a. 3,8.

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