SOLUTION: Let A=[1. 2
3. a] and B=[1. 1
b 3]
Under what condition AB=BA?
a=b=1
a=1.5 and b=5
a=5. and b=1.5
None
Algebra.Com
Question 1133535: Let A=[1. 2
3. a] and B=[1. 1
b 3]
Under what condition AB=BA?
a=b=1
a=1.5 and b=5
a=5. and b=1.5
None
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!
A =
B =
AB = * =
BA = * =
The two product matrices are equivalent if all the corresponding elements are the same:
2b+1 = 4
7 = a+2
3+ab = b+9
3+3a = 2b+3a
There is a pair of values for a and b for which that system of equations is consistent; and it is one of the answer choices.
I leave it to you to do the rest of the work to find which one....
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