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If A and B are square matrices of order ...

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

A

AB = BA

B

Either of A or B is a zero matrix

C

Either of A or B is an identity matrix

D

A = B

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The correct Answer is:
A
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MOTION-MATRICES -Exercise - 4 (Level-I)
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  4. Let {:A=[(1,2),(3,4)]and BA=[(a,0),(0,b)]:},a,b in N Then,

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  12. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  15. If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3 x 3 matrix ...

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  16. If A is a 3 xx 3 non-singular matrix such that A A^(T) = A^(T)A " and ...

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  17. If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...

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