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OpenStudy (anonymous):
Linear Algebra problem. Let A be an 2x2 matrix over the real numbers. 1. The subset {A^2, A^5, A^11} is always linearly dependant. 2. The subset {I, A, A^2} is always linearly dependant. 3. It is possible that the subset {A^2, A^5, A^11} is linearly independant. 4. It is possible that the subset {I, A^2, A^5, A^11} is linearly independant. 5. It is possible that the subset {I, A, A^2} is linearly independant. Appreciate your help! notice I means the identity matrix.
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