Manu
Average Member
Australia
9 Posts 
Posted  03/27/2012 : 09:57:11

For each of the following statements, select whether the statement is true or false for all n × n matrices A, B , C. (Note that you are being asked whether the statement is true or false for all n × n matrices A, B, C, not just for some A, B, C.)
1. (2 A  8 B)(2 A + 8 B) = 4 A^2  64 B^2 2. A(2 I  8 BA) = (2 I  8 AB)A
3. A ≠ 0 and AB = A ⇒ B = I
4. (2 I + AA^T)^ T = 2 I + AA^T
I think the answer is 1true, 2false, 3true, 4false. Is it correct or wrong.


