Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Matrices Adjoint and Inverse of a Square Matrix
The matrix \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} 1&3&2\\ 1&{{\rm{x}} - 1}&1\\ 2&7&{{\rm{x}} - 3} \end{array}} \right]\)
Will have inverse for every real number x except for1
\({\rm{x}} = \frac{{11 \pm \sqrt 5 }}{2}\)
2
\({\rm{x}} = \frac{{9 \pm \sqrt 5 }}{2}\)
3
\({\rm{x}} = \frac{{11 \pm \sqrt 3 }}{2}\)
4
\({\rm{x}} = \frac{{9 \pm \sqrt 3 }}{2}\)