Answer:
Step-by-step explanation:
pivoting means producing a unit column in matrices.
The aim is to make the elements above and below the pivot element o.
so we have;
[tex]\left[\begin{array}{cccc}1&2&4&3\\2&8&6&4\\-1&4&2&3\end{array}\right][/tex]
we will make the pivot element a unit element that is 1.
[tex]\frac{1}{2}R_{2}[/tex] → [tex]\left[\begin{array}{cccc}1&2&4&3\\1&4&3&2\\-1&4&2&3\end{array}\right][/tex]
next we perform the operation [tex]R_{1}[/tex] - [tex]R_{2}[/tex] then we have
[tex]\left[\begin{array}{cccc}0&-2&1&1\\1&4&3&2\\-1&4&2&3\end{array}\right][/tex]
next we also perform the operation [tex]R_{3} + R_{2}[/tex] thus we have
[tex]\left[\begin{array}{cccc}0&-2&1&1\\1&4&3&2\\0&8&5&5\end{array}\right][/tex]
