A function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined as $f(x)=x^2-4 x+5$ is

If $A=\left[\begin{array}{ccc}a & c & -1 \\ b & 0 & 5 \\ 1 & -5 & 0\end{array}\right]$ is a skew-symmetric matrix, then the value of $2 a-(b+c)$ is

If $A$ is a square matrix of order 3 such that the value of $\mid$ adj. $A \mid=8$, then the value of $\left|\mathrm{A}^{\mathrm{T}}\right|$ is

If inverse of matrix $\left[\begin{array}{ccc}7 & -3 & -3 \\ -1 & 1 & 0 \\ -1 & 0 & 1\end{array}\right]$ is the matrix $\left[\begin{array}{lll}1 & 3 & 3 \\ 1 & \lambda & 3 \\ 1 & 3 & 4\end{array}\right]$ then value of $\lambda$ is