T O P I C R E V I E W 
Manu 
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.

1 L A T E S T R E P L I E S (Newest First) 
royhaas 
Posted  03/27/2012 : 10:09:00 1. This appears to require commutativity. 2. Check associativity. 3. What if A doesn't have an inverse? 4. Be careful with transpositions. 

