Matrices and Determinants: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Evening shift · Q4525

JEE Main 202127 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A and B be two 3

\times

3 real matrices such that (A²

-

B²) is invertible matrix. If A⁵ = B⁵ and A³B² = A²B³, then the value of the determinant of the matrix A³ + B³ is equal to :

JEE Main 2021 · 27 Jul, Evening shift · Q4525

JEE Main 202127 Jul, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A and B be two 3

\times

3 real matrices such that (A²

-

B²) is invertible matrix. If A⁵ = B⁵ and A³B² = A²B³, then the value of the determinant of the matrix A³ + B³ is equal to :

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