Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Physical Sciences Mathematical Methods of Physics
Suppose the matrix \(M=\left[\begin{array}{cc} x & -y \\ y & x \end{array}\right]\) is invertible under matrix multiplication, then its inverse is
1
\(\frac{1}{x^2+y^2}\left[\begin{array}{cc}x & -y \\ y & x\end{array}\right]\)
2
\(\frac{1}{x^2+y^2}\left[\begin{array}{cc}x & y \\ -y & x\end{array}\right]\)
3
\(\frac{1}{x^2-y^2}\left[\begin{array}{cc}-y & x \\ x & y\end{array}\right]\)
4
\(\left[\begin{array}{cc}x & y \\ -y & x\end{array}\right]\)
5
Question Not Attempted