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A = [{:(e^(t), e^(-t)"cos"t, e^(-t)"s...

`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), 2e^(-t)"sin"t, -2e^(-t)"cos"t):}]"then A is"`

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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MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers
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