– det (A). = 11. (4 points) True or False. Let A be an n by n matrix. Then det (-A) 12. (4 points) True or False. Let A, B, C be n × n matrices, then det (ABC) = det (BAC). 13. (4 points) True or False. Let A, be an n × n matrix, then det (ATA) = det (A²). 0 has only the trivial solution. True or False. If det (A) = 5, then Ax = 14. (4 points) 15. (4 points) True or False. There is no real square matrix A such that det(AAT) = −1.