1.Let A=(0−12120)A = \begin{pmatrix} 0 & -\frac{1}{2} \\ \frac{1}{2} & 0 \end{pmatrix}A=(021−210) be a matrix such thatM=I+A2+A4+A6+⋯andN=A+A3+A5+A7+⋯ .M = I + A^{2} + A^{4} + A^{6} + \cdots \quad \text{and} \quad N = A + A^{3} + A^{5} + A^{7} + \cdots.M=I+A2+A4+A6+⋯andN=A+A3+A5+A7+⋯.Then (MN2−I)2+(MN)2\left(MN^{2} - I\right)^{2} + \left(MN\right)^{2}(MN2−I)2+(MN)2 is equal to:a.A non-identity symmetric matrixb.A non-identity skew-symmetric matrixc.A symmetric matrix which is not the identityd.A skew-symmetric matrixLogin to continueOnly logged in users canattempt or see the solution.
