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       Log On


   

Question 1101270: 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 Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
AB=I; B=A(inv)
BA=I; A=B(inv)
A=C (inv)
C=A (inv)
B=A (inv) and C=A(inv)
B and C are equal; they are equal to A(inv) but NOT to A.