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Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sin...

Matrix`=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost),e^-t(sint-2cost)],[e^t,e^tcost,e^-tsint]]` is invertible. (a) only if `t=(pi)/(2)` (b) only `t=pi` (c) `tepsilonR` (d) `t!inR`

A

invertible only if `t = (pi)/(2)`

B

not invertible for any `t in R`

C

invertible for all `t in R`

D

invertible only if `t = pi`

Text Solution

Verified by Experts

The correct Answer is:
C
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