Find the eigenvalues of the given matrix: \[ A=\left[\begin{array}{ll} 4 & 8 \\ 1 & 2 \end{array}\right] \]
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Step 2: First, let's form the matrix \(A - \lambda I\). The identity matrix \(I\) for a 2x2 matrix is \(\left[\begin{array}{cc} 1 & 0 \\ 0 & 1 \end{array}\right]\). So, \(A - \lambda I\) becomes: \[ A - \lambda I = \left[\begin{array}{cc} 4-\lambda & 8 \\ 1 & Show more…
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