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If A and B are two matrices such that ra...

If A and B are two matrices such that rank of A = m and rank of B = n, then

A

rank (AB)= mn

B

`"rank "(AB)gt" rank " (A)`

C

`" rank "(AB)gt " rank "(B)`

D

`"rank "(AB) lt min ("rank A, rank B")`

Text Solution

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The correct Answer is:
D
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  • Let A and B are two matrices such that AB = BA, then for every n in N

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