Linear Algebra Examples

$[\begin{array}{c} 1 & 1 & 0 \\ 1 & 4 & 3 \\ 2 & 4 & 1 \end{array}] X = [\begin{array}{c} 2 & - 3 & - 2 \\ 0 & 2 & 0 \\ 4 & 1 & 1 \end{array}]$

Step 1

Reorder factors in $[\begin{array}{c} 1 & 1 & 0 \\ 1 & 4 & 3 \\ 2 & 4 & 1 \end{array}] X = [\begin{array}{c} 2 & - 3 & - 2 \\ 0 & 2 & 0 \\ 4 & 1 & 1 \end{array}]$ .

$X [\begin{array}{c} 1 & 1 & 0 \\ 1 & 4 & 3 \\ 2 & 4 & 1 \end{array}] = [\begin{array}{c} 2 & - 3 & - 2 \\ 0 & 2 & 0 \\ 4 & 1 & 1 \end{array}]$

Step 2

Since $x = 1$ produces $y = - 3$ and $y = 2$ , the table does not represent a function.

Not a function

Step 3

List all of the solutions.

Step 4

Nothing further can be done with this topic. Please check the expression entered or try another topic.

$[\begin{array}{c} 1 & 1 & 0 \\ 1 & 4 & 3 \\ 2 & 4 & 1 \end{array}] X = [\begin{array}{c} 2 & - 3 & - 2 \\ 0 & 2 & 0 \\ 4 & 1 & 1 \end{array}]$