JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

If $A = e^{t} e^{- t} cos t e^{- t} sin t e^{t} - e^{- t} cos t - e^{- t} sin t - e^{- t} sin t + e^{- t} cos t e^{t} 2 e^{- t} sin t - 2 e^{- t} cos t$ then A is

A
Invertible only if $t = π$
B
Invertible for all $t \in R .$
C
Invertible only if $t = \frac{π}{2}$
D
Not invertible for any $t \in R$

Solution

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