Representing a linear system as a matrix - Matrices

Representing a linear system as a matrix

Lessons

Notes:
We can represent a linear system as a matrix. For example, the linear system

1x+2y+3z=41x+2y+3z=4
5x+6y+7z=85x+6y+7z=8
9x+10y+11z=129x+10y+11z=12

can be represented as the matrix:



where x,y,zx,y,z are variables and the vertical line represents the equal sign for each linear equation. We see all the x,y,zx,y,z’s disappear, and we take all the coefficients and the numbers after the equal sign.
  • 2.
    Representing a linear system as a matrix
    Represent each linear system as a matrix:
  • 3.
    Representing a matrix as a linear system
    Represent each matrix as a linear system:
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Representing a linear system as a matrix

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