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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
How to solve pls once show steps...
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Alka gupta Best Answer
here given A^2=A that is A is idempotent matrix we know that eigen values of an idempotent matrix is either zero or one here Set S contain all those real numbers which is equal to trace of A. A is 4x4 oder matrix...so here following possibility for Eigen valus 1. 0,1,1,1 then in this case trace of A is 3 2. 0,0,1,1 then in this case trace of A is 2 3. 0,0,0,1 then in this case trace of A is 1 so ans should be C