1. In the homework due today, did you use something similar to the following critical analysis/reasoning?
   Multiply both sides of an equation by the inverse of a matrix
   Associativity to move the parenthesis
   Cancel A by using MatrixInverse(A)
   Reduce Identity
   
   a) Yes and I used it more than once
   b) Yes and I used it once
   c) No, although I used a similar reasoning
   d) No, I didn't use anything like it
   e) What homework?
   
   
   
   
2. If A is an invertible nxn matrix, and x and b are nx1 vectors, then the matrix-vector equation Ax = b has a unique solution.
   a) True
   b) Always false
   c) Sometimes true and sometimes false
   
   
   
   
3. If Ax = 0 vector, then is C(Ax) = 0C?
   a) Yes and I have a good reason why.
   b) Yes but I am unsure of why.
   c) No butI am unsure of why not.
   d) No andI have a good reason why not.
   
   
   
   
4. If A is an invertible nxn matrix, where n>1, and x and b are 1xn vectors, then the matrix-vector equation Ax = b has a unique solution.
   a) True
   b) Always false
   c) Sometimes true and sometimes false
   
   
   
   
5. If A is invertible and AB=AC then B=C sometimes but not always.
   a) True and I can explain why
   b) True but I am unsure of why
   c) False but I am unsure of why not
   d) False and I can explain why not
   
   
   
   
6. If A is not invertible and AB=AC then B=C sometimes but not always.
   a) True and I can explain why
   b) True but I am unsure of why
   c) False but I am unsure of why not
   d) False and I can explain why not

Solutions
1. a)
2. a)
3. b)
4. a)
5. a)