Matrices_JEE-Main 2019_09-01-2019_S2 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE MAIN 2019

09-01-19 S2

Question

If $A=\left[\begin{array}{ccc}e^t & e^{-t} & e^{-t} \sin t \\ e^t & -e^t \cos t-e^{-t} \sin t & -e^{-t} \sin t+e^{-t} \cos t \\ e^t & 2 e^{-t} \sin t & -2 e^{-t} \cos t\end{array}\right]$, than $A$ is

Select the correct option:

Invertible only if $t=\pi$

Invertible for all $\mathrm{t} \in \mathrm{R}$

Invertible only if $\mathrm{t}=\frac{\pi}{2}$

Not invertible for any $\mathrm{t} \in \mathrm{R}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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