The set of all value of t R, for which the matrix bmatrix e^t&e^ -t ( t-2 t)&e^ -t (-2 t- t) ^t&e^ -t (2 t+...

Question

The set of all value of t R, for which the matrix bmatrix e^t&e^ -t ( t-2 t)&e^ -t (-2 t- t) ^t&e^ -t (2 t+ t)&e^ -t ( t-2 t) ^t&e^ -t t&e^ -t t bmatrix is invertible, is

Accepted Answer

(B)

JEE Main 2023 Mathematics question

Solution