(a) Reduce the matrix $A = \begin{bmatrix} 1 & 2 & 3 & 2 \\ 2 & 3 & 5…
Previous year question for Engineering Mathematics-I.
Question
(a) Reduce the matrix $A = \begin{bmatrix} 1 & 2 & 3 & 2 \\ 2 & 3 & 5 & 1 \\ 1 & 3 & 4 & 5 \end{bmatrix}$ to normal form and hence find its rank.
(b) Using elementary column transformations only, find the inverse of the matrix
$$\begin{bmatrix} 1 & 2 & 5 \\ 3 & 1 & 4 \\ 1 & 1 & 2 \end{bmatrix}$$
(c) Diagonalize the matrix
$$\begin{bmatrix} 1 & 2 & 2 \\ 0 & 2 & 1 \\ -1 & 2 & 2 \end{bmatrix}$$
- Year: 2022
- Subject: Engineering Mathematics-I