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Which one of the following matrices can be obtained by performing elementary row transformations on the \(3\times3\) identity matrix?
  • JEE Advanced - 2026
  • JEE Advanced
  • Mathematics
  • Algebra
Consider the function \[ f:(0,\infty)\to(-\infty,\infty) \] given by \[ f(x)=\sqrt{x}\log_e(x)-x+1 \] Then which one of the following statements is TRUE?
  • JEE Advanced - 2026
  • JEE Advanced
  • Mathematics
  • Application of derivatives
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