Answer:
Given:
Matrix A is of order 3 × 3 and Matrix B is of order 3 × 3
To Show:
Formula Used:
If A is a matrix of order a×b and B is a matrix of order c×d , then matrix AB exits and is of order a×d , if and only if b = c.
If A is a matrix of order a×b and B is a matrix of order c×d , then matrix BA exits and is of order c×b , if and only if d = a.
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For Matrix AB, a = 3, b = c = 3, d = 3 , thus Matrix AB is of order 3×3
Matrix AB = Matrix A
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For Matrix BA, a = 3, b = c = 3, d = 3 , thus Matrix BA is of order 3 × 3
Matrix BA = Matrix B
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