True or false, with reason if true and counterexample if false: (a) If A and B are

Chapter 4, Problem 4.2.14

(choose chapter or problem)

True or false, with reason if true and counterexample if false: (a) If A and B are identical except that b11 = 2a11, then detB = 2detA. (b) The determinant is the product of the pivots. (c) If A is invertible and B is singular, then A+B is invertible. (d) If A is invertible and B is singular, then AB is singular. (e) The determinant of ABBA is zero.

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