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If A and B are two square matrices such ...

If `A and B` are two square matrices such that they commute, then which of the following is true?

A

`AB^(2013)=B^(2013)A`

B

`(AB)^(2013)=A^(2013)B^(2013)`

C

`(A+B)^(n)=.^(n)C_(0)A^(n)+.^(n)C_(1)A^(n-1)B+.^(n)C_(2)A^(n-2)B^(2)+. . . . +.^(n)C_(n)B^(n)`

D

`A^(2)-B^(2)=(A-B)(A+B)`

Text Solution

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The correct Answer is:
A, B, C, D
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