(a) Find the rank of the following matrix A for various values of k $…
Previous year question for Engineering Mathematics-I.
Question
(a) Find the rank of the following matrix A for various values of k
$$A = \begin{bmatrix} 1 & k & -1 & 2 \\ 2 & -1 & -k & 5 \\ 1 & 10 & -6 & 1 \end{bmatrix}$$
(b) Using elementary column transformations only, find the inverse of the matrix
$$\begin{bmatrix} 1 & 2 & 5 \\ 3 & 1 & 4 \\ 1 & 1 & 2 \end{bmatrix}$$
- Year: 2022
- Subject: Engineering Mathematics-I