A) 2
B) 1
C) 4
D) None of these
Correct Answer: A
Solution :
As,\[{{A}^{2}}=O,\,\,{{A}^{K}}=O\] \[\forall \,\,K\ge 2\] Thus, \[{{(A+I)}^{50}}=I+50\,\,A\] \[\Rightarrow \] \[{{(A+I)}^{50}}-50A=I\] \[\therefore \] \[I=\left[ \begin{matrix} a & b \\ c & d \\ \end{matrix} \right]\] \[\Rightarrow \] \[a=1,\,\,b=0,\,\,c=0,\,\,d=1\] \[\therefore \] \[a+b+c+d=1+0+0+1=2\]You need to login to perform this action.
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