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Matriceshard
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Let AAA be a 3×33 \times 33×3 matrix such that A2=AA^2 = AA2=A (idempotent matrix) and det⁡(A)=0\det(A) = 0det(A)=0. Which of the following statements about the possible values of tr(A)\text{tr}(A)tr(A) are true?