Linear Algebra Examples

⎡ ⎢ ⎣ \begin{matrix} - 3 & 0 & 1 4 & - 1 & 4 1 & - 2 & 3 \end{matrix} ⎤ ⎥ ⎦

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

Step 1

Write the matrix as a system of linear equations.

- 3 x = 1

$- 3 x = 1$

4 x - y = 4

$4 x - y = 4$

x - 2 y = 3

$x - 2 y = 3$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$