Question

First write the given homogeneous system in the matrix form Ax=0. Then find the solution in vector form. x1−5x3+4x4 = 0 & x2+4x3−5x4=0 Write the system in matrix form.

Answer 1

Hi

Explanation:

`\left\{ \begin {array} {ccc}x_1&=&5x_3-4x_4\\x_2&=&-4x_3+5x_4\\\end {array} \right.\\\\\\\left(\begin{array}{c}x_1\\ x_2\end{array}\right)=\begin{bmatrix}5 & -4 \\-4 & 5 \end{bmatrix}\left(\begin{array}{c}x_3\\ x_4\end{array}\right)`