If A= pmatrix 1&2 2&3 pmatrix and A^2-kA-I_2=O, where I_2 is the 2 2 identity matrix, then what is the value of k?

NDA 2018 Mathematics question

If and , where is the identity matrix, then what is the value of k?

Answer: (A)

. From the entry of $-kA- =

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Question ID VK-028837