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Step-by-step explanation:
A is an a×(a+3) matrix and B is a b×(17-b) matrix.
We know that the product of two matrices A(m×n) and B(p×q) is possible only when n=p and the dimensions of the product matrix AB will be (m×p).
So, for AB to exist, a+3=b, ⇒a-b=-3 ...... (1)
Again, for BA to exist, 17-b=a, ⇒a+b=17 ...... (2)
Solving equations (1) and (2), we get, 2a=14, ⇒a=7.
And from equation (2), b=(17-a)=(17-7)=10
Therefore, a=7 and b=10. (Answer)
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