Consider a $2\times 2$ matrix $M=\begin{bmatrix} v_1 & v_2 \end{bmatrix}$, where $v_1$ and $v_2$ are the column vectors. Suppose $M^{-1}=\begin{bmatrix} u_1^T \\ u_2^T \end{bmatrix}$, where $u_1^T$ and $u_2^T$ are the row vecotrs. Consider the Following statements:
Statement $1$: $u_1^Tv_1 = 1$ and $u_2^Tv_2= 1$
Statement $2$: $u_1^Tv_2 = 0$ and $u_2^Tv_1= 0$
- Statement $1$ is True and Statement $2$ is false
- Statement $2$ is true and Statement $1$ is false
- Both the Statements are true
- Both the statements are false
