If AB = BA = I, what can be said about matrices A and B?a.They are symmetric.b.They are singular.c.They are transposes of each other.d.They are inverses of each other.
Question
If AB = BA = I, what can be said about matrices A and B?a.They are symmetric.b.They are singular.c.They are transposes of each other.d.They are inverses of each other.
Solution
The statement AB = BA = I refers to the property of two matrices A and B such that when they are multiplied together, they yield the identity matrix I. This property defines the relationship of two matrices being inverses of each other. Therefore, the correct answer is:
d. They are inverses of each other.
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