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, A^2} is linearly independant.

Appreciate your help!

notice I means the identity matrix.

Question

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, A^2} is linearly independant.


Appreciate your help!

notice I means the identity matrix.

anonymous · Answer

can u give little discription

anonymous · Answer

You can find my final explanation here at the bottom of the page : http://openstudy.com/study#/updates/507683efe4b0ed1dac501be6