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Linear Algebra Examples

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

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

Step 1

Find the trace of a square matrix by adding the elements on the main diagonal.

3 + 4 + 3

$3 + 4 + 3$

Step 2

Simplify.

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Step 2.1

Add

3

$3$ and

4

$4$ .

7 + 3

$7 + 3$

Step 2.2

Add

7

$7$ and

3

$3$ .

10

$10$

10

$10$

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

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