If A= 2 3 3 5, then the determinant of the matrix (A²⁰²⁵-3A²⁰²⁴+A²⁰²³) is

Matrices and Determinants: JEE Main 2026 Mathematics question

JEE Main 2026 · 22 Jan, Morning shift · Q15

JEE Main 202622 Jan, Morning shiftMathematicsEasyMatrices and Determinants245× since 2002

\mathrm{A}=\begin{bmatrix}2 & 3\\ 3 & 5\end{bmatrix}

, then the determinant of the matrix

(\mathrm{A}^{2025}-3\mathrm{A}^{2024}+\mathrm{A}^{2023})

JEE Main 2026 · 22 Jan, Morning shift · Q15

JEE Main 202622 Jan, Morning shiftMathematicsEasyMatrices and Determinants245× since 2002

\mathrm{A}=\begin{bmatrix}2 & 3\\ 3 & 5\end{bmatrix}

, then the determinant of the matrix

(\mathrm{A}^{2025}-3\mathrm{A}^{2024}+\mathrm{A}^{2023})