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If A and B are square matrices of size n...

If A and B are square matrices of size `nxxn` such that `A^(2)-B^(2)=(A-B)(A+B)`, then which of the following will be always true?

A

A = B

B

AB = BA

C

either of A or B is a zero matrix

D

either of A or B is a identity matrix

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The correct Answer is:
B
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AAKASH SERIES-MATRICES -ALGEBRA OF MATRICES -PRACTICE EXERCISE
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  6. If A=[(1,1),(1,1)] and ninN then A^(n)=

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  15. If A and B are square matrices of size nxxn such that A^(2)-B^(2)=(A-B...

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  16. Let ((1,2),(3,4)) and B=((a,0),(0,b)), a, b epsilon N. Then

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