Let for A = [ 1 2 3 α 3 1 1 1 2 ],|A| = 2. If |2 adj (2 adj (2A))| = 32ⁿ, then 3n + α is equal to

Matrices and Determinants: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Evening shift · Q4544

JEE Main 202313 Apr, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let for

A = \left[ {\matrix{ 1 & 2 & 3 \cr \alpha & 3 & 1 \cr 1 & 1 & 2 \cr } } \right],|A| = 2

. If

\mathrm{|2\,adj\,(2\,adj\,(2A))| = {32^n}}

, then

3n + \alpha

is equal to

JEE Main 2023 · 13 Apr, Evening shift · Q4544

JEE Main 202313 Apr, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

Let for

A = \left[ {\matrix{ 1 & 2 & 3 \cr \alpha & 3 & 1 \cr 1 & 1 & 2 \cr } } \right],|A| = 2

. If

\mathrm{|2\,adj\,(2\,adj\,(2A))| = {32^n}}

, then

3n + \alpha

is equal to