(a) Using elementary row and column transformations reduce the follow…

Question

(a) Using elementary row and column transformations reduce the following matrix to normal form and hence find its rank

$$\begin{bmatrix} 1 & 4 & -2 & 1 \\ 5 & 2 & 4 & 3 \\ 2 & -1 & 3 & 1 \end{bmatrix}$$

(b) Find the eigen values and their corresponding eigen vectors for the matrix $\begin{bmatrix} 2 & 1 & 1 \\ 2 & 3 & 4 \\ -1 & -1 & -2 \end{bmatrix}$.

Related pages

• Normal Form of a Matrix — topic
• Engineering Mathematics-I syllabus

More PYQs on Normal Form of a Matrix

• (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 ele…