Manu
Average Member
Australia
9 Posts 
Posted  03/27/2012 : 10:03:11

For each of the following statements, select whether the statement is true or false for all n × n invertible matrices A, B , C. (Note that you are being asked whether the statement is true or false for all n × n invertible matrices A, B, C, not just for some invertible A, B, C.)
1. (ABA^1)^8 = A^8B^8A^8
2. B^12 = B^4 ⇒ B^1 = B^7
3. A^1 = BC ⇒ C^1 = AB
Is the answer 1true, 2false, 3true is correct.


