Question bank/JEE Advanced/Mathematics

JEE AdvancedMathematicsChallengingJEE Adv 2020 Paper 2

The trace of a square matrix is defined to be the sum of its diagonal entries. If AA is a 2×22 \times 2 matrix such that the trace of AA is 3 and the trace of A3A^{3} is -18 , then what is the value of the determinant of AA?

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Verified official answer key: (5).

Source: JEEBench (IIT Delhi) / JEE Adv 2020 Paper 2

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