In Exercises 9 and 10, mark each statement True or False. Justify each answer.
9. a. In order for a matrix B to be the inverse of A, both equations AB = I and BA = I must be true.
b. If A and B are n x n and invertible, then A−1 B−1 is the inverse of AB.
c. If A =
d. If A is an invertible n × n matrix, then the equation Ax = b is consistent for each b in ℝn.
e. Each elementary matrix is invertible.
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