Question: Find the dominant eigenvalue of the matrix A = ( [ 5 , - 1 ] , [ - 1 , - 1 ] )

Find the dominant eigenvalue of the matrix
A=([5,-1],[-1,-1])
first by hand in exact mathematics and then with a precision of 10-3 using the power method.
Please solve by hand first and also write the code solution in Python to calculate this. Thank You in advance.
Find the dominant eigenvalue of the matrix A = (

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