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The negation of the statement " If A . B...

The negation of the statement " If `A . B = 0 ` then `A = 0 or B = 0` (where A and B are square matrices ) is

A

If `A . B ne 0 then `(A ne 0 or B ne 0)`

B

`A . B = 0 but`(A ne 0 and B ne 0)`

C

If `A . B ne 0` then `(A ne 0 and B ne 0)`

D

`A . B ne 0` but (`A ne 0 or B ne 0)`

Text Solution

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The correct Answer is:
B
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