# GATE Papers >> Mechanical >> 2009 >> Question No 1

Question No. 1

For a matrix [M]= $\left[\begin{array}{cc}\frac{3}{5}& \frac{4}{5}\\ x& \frac{3}{5}\end{array}\right]$, the transpose of the matrix is equal to the inverse of the matrix [M]T = [M]-1. The value of x is given by