Matrices and Determinants: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Aug, Evening shift · Q4467

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

Let

A = \left( {\matrix{ {[x + 1]} & {[x + 2]} & {[x + 3]} \cr {[x]} & {[x + 3]} & {[x + 3]} \cr {[x]} & {[x + 2]} & {[x + 4]} \cr } } \right)

, where [t] denotes the greatest integer less than or equal to t. If det(A) = 192, then the set of values of x is the interval :

JEE Main 2021 · 27 Aug, Evening shift · Q4467

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

Let

A = \left( {\matrix{ {[x + 1]} & {[x + 2]} & {[x + 3]} \cr {[x]} & {[x + 3]} & {[x + 3]} \cr {[x]} & {[x + 2]} & {[x + 4]} \cr } } \right)

, where [t] denotes the greatest integer less than or equal to t. If det(A) = 192, then the set of values of x is the interval :

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