Linear Algebra Examples

$[\begin{array}{c} 1 & 3 & 4 & 8 & 9 \\ 4 & 5 & 6 & 8 & 9 \\ 12 & 13 & 15 & 2 & 1 \\ 4 & 2 & - 1 & 3 & 0 \\ 4 & 1 & 3 & 5 & 6 \end{array}]$

Step 1

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

$1 + 5 + 15 + 3 + 6$

Step 2

Simplify.

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Step 2.1

Add $1$ and $5$ .

$6 + 15 + 3 + 6$

Step 2.2

Add $6$ and $15$ .

$21 + 3 + 6$

Step 2.3

Add $21$ and $3$ .

$24 + 6$

Step 2.4

Add $24$ and $6$ .

$30$