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If A is any matrix, then the product AA ...

If A is any matrix, then the product AA is defined only when A is a matrix of order m `xx` n where :

A

m `gt` n

B

m `lt` n

C

m = n

D

m `le` n

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Verified by Experts

The correct Answer is:
C
A A is defined only when A is a matrix of order `m xx n` where m = n.
`A xx A=(m xx n)(m xx n)=(m xx n)(n xx n)` if m = n
`=m xx n = n xx n or m xx m`.
= A is a square matrix.
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