Let n≥ 2 be an integer, A = (\table \cos({2\pi}/2),\sin({2\pi}/n),0;\sin({2\pi}/n),\cos({2\pi}/n),0;0,0,1) and Ι is the identity matrix of order 3. Then

Correct Answer is : An = Ι and An–1 ≠ Ι

A^m ≠ Ι for any positive integer m

A^m = 0 for a positive integer m

WBJEE 2014 Maths Solved Paper

Question : 24 of 80

Marks: +1, -0

Let n≥ 2 be an integer, A = (

cos(

2π

)

sin(

2π

)

sin(

2π

)

cos(

2π

)

) and Ι is the identity matrix of order 3. Then

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