Question: 1. If a, b, and c are real numbers such that c 0 and ac = bc, then a = b. However, if A, B,

1. If a, b, and c are real numbers such that c ‰ 0 and ac = bc, then a = b. However, if A, B, and C are nonzero matrices such that AC = BC, then A is not necessarily equal to B. Illustrate this using the following matrices.

2. If a and b are real numbers such that ab = 0, then a = 0 or b = 0. However, if A and B are matrices such that AB = O, it is not necessarily true that A = O or B = O. Illustrate this using the following matrices.

- - 0 -E 3 . B = . 3 3 4 -1 A B = -1 4. ||

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