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Let A denote the matrix ({:(0,i),(i,0):...

Let A denote the matrix `({:(0,i),(i,0):})`, where ` i^(2) = -1` , and let `I` denote the identity matrix `({:(1,0),(0,1):})`. Then `I + A + A^(2) + "….." + A^(2010)` is -

A

`[(0,0),(0,0)]`

B

`[(0,i),(i,0)]`

C

`[(1,i),(i,1)]`

D

`[(-1,0),(0,-1)]`

Text Solution

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The correct Answer is:
B
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