Linear Algebra Math

Here are some of the definitions and examples used in Linear Algebra and specifically the linear algebra calculators available.Let A, B, and C represent n x n matrices.Example of a 3 x 3 Matrix:

1  2  3
1  1  2
0  1  2

For example:

A =a b c d e f g h iAT =a d g b e h c f i

Calculation Technique: The inverse was obtained using the Theorem:

<b>A</b>adj(<b>A</b>) = det(<b>A</b>)I<sub>n</sub>

Which when manipulated gives you:

<b>A</b><sup>-1</sup> = (1 / det(<b>A</b>)) * adj(<b>A</b>)