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If A is a matrix of order p xx q and B i...

If A is a matrix of order p `xx` q and B is a matrix of order s `xx` t, under which one of the following conditions does AB exist ?

A

p = t

B

p = s

C

q = t

D

q = s

Text Solution

Verified by Experts

The correct Answer is:
D

If A is a matrix of order `p xx q` and B is a matrix of order `s xx t`, then AB will exist when the number of column in A is equal to the number of rows in B
`rArr q = s`
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