Linear Algebra Examples

$[\begin{array}{c} 1 & 0 \\ 0 & 1 \end{array}]$

Step 1

Write as an augmented matrix for $A x = 0$ .

$[\begin{array}{c} 1 & 0 & 0 \\ 0 & 1 & 0 \end{array}]$

Step 2

Use the result matrix to declare the final solution to the system of equations.

$x = 0$

$y = 0$

Step 3

Write a solution vector by solving in terms of the free variables in each row.

$[\begin{array}{c} x \\ y \end{array}] = [\begin{array}{c} 0 \\ 0 \end{array}]$

Step 4

Write as a solution set.

${[\begin{array}{c} 0 \\ 0 \end{array}]}$