JEE Advanced 2019 Mathematics question

MathematicsMatricesJEE Advanced 2019

Let

M==α I+β ,

where and are real numbers, and is the identity matrix. If is the minimum of the set and is the minimum of the set , then the value of is

Answer: (C)

Solution

Multiplying by : . By the Cayley-Hamilton theorem , so and . Let . , minimum at

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Question ID VK-026845