Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Evening shift · Q4521

JEE Main 20207 Jan, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A = [a_ij] and B = [b_ij] be two 3 × 3 real matrices such that b_ij = (3)^(i+j-2)a_ji, where i, j = 1, 2, 3. If the determinant of B is 81, then the determinant of A is:

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Evening shift · Q4521

JEE Main 20207 Jan, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let A = [a_ij] and B = [b_ij] be two 3 × 3 real matrices such that b_ij = (3)^(i+j-2)a_ji, where i, j = 1, 2, 3. If the determinant of B is 81, then the determinant of A is:

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