Find the trace of the matrix inverse A^{-1} if A is given by A = [[2, 0], [0, 4]].

Answer Key:

0.75

### Solution: A is diagonal with eigenvalues 2 and 4. A^{-1} is diagonal with entries 1/2 and 1/4. Trace(A^{-1}) = 1/2 + 1/4 = 0.5 + 0.25 = 0.75. Correct: 0.75.

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