SOLUTION: AB=BA=I and AC=CA=I. Then what about B an C
a. They are equal
b. they are not equal
c. Each is equal to A
d. None
Algebra ->
Matrices-and-determiminant
-> SOLUTION: AB=BA=I and AC=CA=I. Then what about B an C
a. They are equal
b. they are not equal
c. Each is equal to A
d. None
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Question 1101271: AB=BA=I and AC=CA=I. Then what about B an C
a. They are equal
b. they are not equal
c. Each is equal to A
d. None Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! AB = BA = I implies that B is the inverse of A
AC = CA = I implies that C is the inverse of A
:
therefore B = C since the inverse of a matrix is unique, answer is a
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