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If A = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ + t cos e 2 – t sin e 2 e t cos e t sin e – t sin e – t cos e – e t sin e t cos e e t – t – t t – t – t – t – t t – t – t then A is :

1. invertible only if t = π
2. invertible for all t ∈ R
3. invertible only if t = 2 π
4. not invertible for any t ∈ R CAREER POINT CAREER POINT , CP Tower, IPIA, Road No.1, Kota (Raj.), : 0744-6630500 | www.ecareerpoint.com Email: info@cpil.in Page # 11 JEE Main Online

Correct answer: invertible for all t ∈ R

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