Find the Eigenvalues

Problem

[[8,1194,2865,1485],[0,2197,2037,2023],[0,0,4913,798],[0,0,0,125]]

Solution

1. Identify the structure of the matrix. The given matrix is an upper triangular matrix because all entries below the main diagonal are zero.

2. Apply the property of triangular matrices. For any upper or lower triangular matrix, the eigenvalues are simply the entries located on the main diagonal.

3. Extract the diagonal elements. The values on the main diagonal are 8 2197 4913 and 125

4. Recognize the powers. Note that these values are perfect cubes: 2 13 17 and 5

Final Answer

λ={8,2197,4913,125}

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