##### Lecture on Symmetric, Skew Symmetric and Orthogonal Matrix
Content covered:

For a matrix M = $A= \begin{bmatrix} \frac{3}{5} & \frac{4}{5}\\ x & \frac{3}{5} \\ \end{bmatrix}$  , the transpose of the matrix is equal to the inverse of the matrix. The value of  $x$ is given by

(a)    $-\frac{4}{5}$                                        (b)    $-\frac{3}{5}$

(c)    $\frac{3}{5}$                                            (d)    $\frac{4}{5}$

Ans.
$M^t=M^-1$ , means matrix is orthogonal , which means |A|=1

so, $3/5*3/5-4/5*x=1$

so, x=-4/5