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Let A and B be two square matrices of or...

Let A and B be two square matrices of order 3 and AB = `O_(3)` , where `O_(3)` denotes the null matrix of order 3. then

A

must be A = `O_(3) B = O_(3)`

B

If A `ne O_(3), ` must be B `ne O_(3)`

C

If A = `O_(3)` , must be B `ne O_(3)`

D

may be A `ne O_(3), B ne O_(3)`

Text Solution

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The correct Answer is:
D
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  17. Let A be a square matrix of order 3 whose all entries are 1 and let I(...

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  18. If M is any sauare matrix of order 3 over R and if M' be the transpose...

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  19. If A = ({:(5, 5x, x ),(0, x , 5x),(0, 0, 5):}) and |A^(2)| = 25 , the...

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  20. Let A and B be two square matrices of order 3 and AB = O(3) , where O(...

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