# Matrix

### part of math

## Brief histoty about Matrix

The orgins of mathematical matrices lie with the study of systems of simultaneous linear equations. The term "matrix" for such arrangements was introduced in 1850 by James Joseph Sylvester.Olga Taussky Todd (1906-1995), who began by using matrices to analyze vibrations on airplanes during World War II and became the torchbearer for matrix theory.

## Uses of Matrix

-solving systems of simultaneous linear equations -describing the quantum mechanics of atomic structure -designing computer game graphics -analyzing relationships -plotting complicated dance steps

## Example of Matrix

x + y + z =6 2y + 5z = -4 2x + 5y - z = 27

## calculate A^-1Find the determinant of each of the 2x2 minor matrices and multiply each term by the sign indicated | ## Find det(A), the determinate of the matrix A. | ## Find the inverse by dividing the adjugate found in the first step by the determinate from the second step |

## solution

X=5 Y=3 Z=-2

## video

http://www.youtube.com/watch?v=CsTOUbeMPUo