Linear Algebra Examples

$[\begin{array}{c} 1 & 4 & - 13 & - 32 \\ 0 & 1 & - 4 & - 6 \end{array}]$

Step 1

Perform the row operation $R_{1} = R_{1} - 4 R_{2}$ to make the entry at $1, 2$ a $0$ .

$[\begin{array}{c} 1 - 4 \cdot 0 & 4 - 4 \cdot 1 & - 13 - 4 \cdot - 4 & - 32 - 4 \cdot - 6 \\ 0 & 1 & - 4 & - 6 \end{array}]$

Step 2

Simplify $R_{1}$ .

$[\begin{array}{c} 1 & 0 & 3 & - 8 \\ 0 & 1 & - 4 & - 6 \end{array}]$