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$If A = [\begin{array}{cc} 2 & - 2 \\ 2 & 3 \end{array}] and if A^{2} - 5 A + k I = 0 then k =$

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Correct option is D

Clearly, we have A2−β1A+β2I=0 Where β1=2+3=5;β2=2−223=10∴ we have A2−5A+10I=0 Clearly k=10

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If A=2−223 and if A2−5A+kI=0 then k=

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$If A = [\begin{array}{cc} 2 & - 2 \\ 2 & 3 \end{array}] and if A^{2} - 5 A + k I = 0 then k =$