POLYMATH Report | LEQ |

Linear Equations | 2016-May-30 |

Linear Equations Solution

Variable | Value | |

1 | a | 54 |

2 | c | -2 |

3 | b | -4 |

The equations

[1] a + 2·c = 50

[2] -c + b = -2

[3] a + 23·c - b = 12

Problem source text

# S. 1 - Linear Eqs.
# Simple linear equations system #Verified Solution: a = 54, b = -2 , c = -4 a + 2*c = 50 b = -2 + c a + 23*c = 12 + b |

Coefficients matrix and beta vector

a | c | b | beta | |

1 | 1 | 2 | 0 | 50 |

2 | 0 | -1 | 1 | -2 |

3 | 1 | 23 | -1 | 12 |

Matlab formatted problem

Create m file called PolyLEQ.m and paste the following text into it.

% S. 1 - Linear Eqs.
% Simple linear equations system % Verified Solution: a = 54, b = -2 , c = -4 clc; A = [ 1 2 0 ; 0 -1 1 ; 1 23 -1 ]; beta = [ 50 ;-2 ; 12 ]; x = A \ beta; fprintf('a = %16.6f \n',x(1)); fprintf('c = %16.6f \n',x(2)); fprintf('b = %16.6f \n',x(3)); |

General Settings

Number of equations: 3

Reporting digits: 8

Elapsed time: 0.00 sec