Hi I just wanted to double check the answers for these T/F Matrix statements, hopefully they are simple to determine for you guys...
Which of the following statements are true for all A and B invertible n×n matrices?
1. AB=I does not imply that BA=I.
2. The columns of B span Rn.
3. B can have two identical rows.
4. The homogeneous system Bv=0 has only the trivial solution.
5. The matrix AT is invertible.
7. A^7B^5 is invertible
9. A+A^−1 is invertible