Let z= -1+ 3 i 2 , where i= -1 , and r,s 1,2,3 . Let P= bmatrix (-z)^r & z^ 2s z^ 2s & z^r bmatrix and I be...

Question

Let z= -1+ 3 i 2 , where i= -1 , and r,s 1,2,3 . Let P= bmatrix (-z)^r & z^ 2s z^ 2s & z^r bmatrix and I be the identity matrix of order 2. Then the total number of ordered pairs (r,s) for which P^2=-I is

Accepted Answer

1

JEE Advanced 2016 Mathematics question

Solution

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