If A =| 1 2 || 2 3 |and A² – kA – I₂ = 0, where I₂ is the 2×2 identity matrix, then what is the value of k? - NDA Mathematics 2018 (I)

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If A =
| 1 2 |
| 2 3 |
and A² – kA – I₂ = 0, where I₂ is the 2×2 identity matrix, then what is the value of k?