Question:

If⎡⎢⎣ete−tcoste−tsintet−e−tcost−e−tsint−e−tsint+e−tcostet2e−tsint𕒶e−tcost⎤⎥⎦ThenAis -Invertible only ift=π2not invertible for anytεRinvertible only ift=πinvertible for alltεRIf⎡⎢⎣ete−tcoste−tsintet−e−tcost−e−tsint−e−tsint+e−tcostet2e−tsint𕒶e−tcost⎤⎥⎦ThenAis -Invertible only ift=π2not invertible for anytεRinvertible only ift=πinvertible for alltεR⎡⎢⎣ete−tcoste−tsintet−e−tcost−e−tsint−e−tsint+e−tcostet2e−tsint𕒶e−tcost⎤⎥⎦⎡⎢⎣ete−tcoste−tsintet−e−tcost−e−tsint−e−tsint+e−tcostet2e−tsint𕒶e−tcost⎤⎥⎦⎡⎢⎣ete−tcoste−tsintet−e−tcost−e−tsint−e−tsint+e−tcostet2e−tsint𕒶e−tcost⎤⎥⎦⎡⎢⎣ete−tcoste−tsintet−e−tcost−e−tsint−e−tsint+e−tcostet2e−tsint𕒶e−tcost⎤⎥⎦⎡⎢⎣⎡⎢⎣⎡⎢⎣ete−tcoste−tsintet−e−tcost−e−tsint−e−tsint+e−tcostet2e−tsint𕒶e−tcostete−tcoste−tsintet−e−tcost−e−tsint−e−tsint+e−tcostet2e−tsint𕒶e−tcostete−tcoste−tsinteteteteeettte−tcoste−tcoste−teee−t−t−t−−ttcoscostte−tsinte−tsinte−teee−t−t−t−−ttsinsinttet−e−tcost−e−tsint−e−tsint+e−tcosteteteteeettt−e−tcost−e−tsint−e−tcost−e−tsint−−e−teee−t−t−t−−ttcoscostt−−e−teee−t−t−t−−ttsinsintt−e−tsint+e−tcost−e−tsint+e−tcost−−e−teee−t−t−t−−ttsinsintt++e−teee−t−t−t−−ttcoscosttet2e−tsint𕒶e−tcosteteteteeettt2e−tsint2e−tsint22e−teee−t−t−t−−ttsinsintt𕒶e−tcost𕒶e−tcost−𕒶2e−teee−t−t−t−−ttcoscostt⎤⎥⎦⎤⎥⎦⎤⎥⎦AAAAAInvertible only ift=π2t=π2t=π2t=π2tt==π2π2π2π2πππ222not invertible for anytεRtεRtεRtεRttεεRRinvertible only ift=πt=πt=πt=πtt==ππinvertible for alltεRtεRtεRtεRttεεRRAinvertible for alltεRinvertible for alltεRtεRtεRtεRttεεRRBinvertible only ift=πinvertible only ift=πt=πt=πt=πtt==ππCInvertible only ift=π2Invertible only ift=π2t=π2t=π2t=π2tt==π2π2π2π2πππ222Dnot invertible for anytεRnot invertible for anytεRtεRtεRtεRttεεRR?