The eigenvalues of the matrix with rows (4, -1); (0, -2) are

Answer and explanation

Correct answer: A. -2 and 4

  1. Step 1: The matrix is upper triangular, so the eigenvalues are its diagonal entries. Step 2. They are 4 and -2. Answer: -2 and 4. Why not the others: 2 and -8 is what you get if you give the trace and determinant. -4 and 2 is what you get if you change the signs. 4 and -1 is what you get if you include the off-diagonal entry.

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