Question: 2.3 [2 pt] Find a 2 x 2 matrix with integer entries that has 10 and 25 as eigenvalues with eigen vectors (1, 4) and

2.3 [2 pt] Find a 2 x 2 matrix with integer
2.3 [2 pt] Find a 2 x 2 matrix with integer entries that has 10 and 25 as eigenvalues with eigen vectors (1, 4) and (1, -1) respectively. Record it as an array in ANS23 with integer entries. Hint: Put variables for entries in a 2 x 2 array all a 12 , write out the equations that must be satisfied, and solve. a21 a22 K ANS23 = None # YOUR CODE HERE ANS23 = raise NotImplementedError ( ) K assert type(ANS23) == np. ndarray, "Problem 2.3, Your answer should be an array" assert ANS23. shape == (2, 2), "Problem 2.3, Your array should be dimension 2 x 2" assert np. isclose (ANS23 @ np. array ( [1, 4]), np. array ([10, 40])) . all(), "Problem 2.3, Your array should have [1, 4] as an eige

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