The trace of a square matrix is defined to be the sum of its diagonal entries. If {A} is a 2 \\times2 matrix such that the trace of {A} is 3 and the trace of {A}^{3} is -18 , then the value of the determinant of {A} is [JEE Adv 2020 P2]

Matrices and Determinants

Section: Mathematics

Question : 17 of 56

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The trace of a square matrix is defined to be the sum of its diagonal entries. If A is a 2×2 matrix such that the trace of A is 3 and the trace of A3 is -18 , then the value of the determinant of A is

[JEE Adv 2020 P2]

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x2+yz	xy+3y−xy
xz+3z−xz	yz+9+x2−6x

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