Dec 162017

Solves determinant and inverse of a matrix. TP 4.0+ source included. | |||
---|---|---|---|

File Name | File Size | Zip Size | Zip Type |

INV_MTRX.PAS | 6199 | 1772 | deflated |

MATRICES.PAS | 5301 | 1063 | deflated |

MATRIX.EXE | 14336 | 8446 | deflated |

README.TXT | 2061 | 838 | deflated |

# Download File INV_MTRX.ZIP Here

## Contents of the README.TXT file

This is a simple program that solves the determinant and inverse of

square matrices. It was written in Turbo Pascal, and the source code files

are included as INV_MTRX.PAS and MATRICES.PAS. To run the program, simply

type MATRIX at the prompt and follow the instructions. Although this

program accepts real numbers as matrix elements, try to keep the numbers

under three decimal places.

This program can be useful for solving systems of equations. For

example, if you have these equations:

Ax + By = C where A, B, C, D, E, and F are real numbers and

Dx + Ey = F x and y are variables,

then x and y are: (the bars represent determinants)

C B A C

F E D F

x = y =

A B A B

D E D E

Or, if you have these equations:

Ax + By + Cz = D

Ex + Fy + Gz = H

Ix + Jy + Kz = L

then x, y, and z are:

D B C A D C A C D

H F G E H G E G H

L J K I L K I K L

x = y = z =

A B C A B C A B C

E F G E F G E F G

I J K I J K I J K

Notice in the second example, the elements of the determinants in the

denominators correspond to the coefficients in the left side of the equations.

Also, notice how the constants D, H, and L (they're constants because they are

not coefficients of x, y, nor z) are in a column and are positioned

accordingly in the determinants of the numerators. This process can be

applied to four equations with four variables, and so on.

Well, I hope you understood that short lesson in higher mathematics.

I also hope you find this program useful.

Allen Kim, 7/20/91

square matrices. It was written in Turbo Pascal, and the source code files

are included as INV_MTRX.PAS and MATRICES.PAS. To run the program, simply

type MATRIX at the prompt and follow the instructions. Although this

program accepts real numbers as matrix elements, try to keep the numbers

under three decimal places.

This program can be useful for solving systems of equations. For

example, if you have these equations:

Ax + By = C where A, B, C, D, E, and F are real numbers and

Dx + Ey = F x and y are variables,

then x and y are: (the bars represent determinants)

C B A C

F E D F

x = y =

A B A B

D E D E

Or, if you have these equations:

Ax + By + Cz = D

Ex + Fy + Gz = H

Ix + Jy + Kz = L

then x, y, and z are:

D B C A D C A C D

H F G E H G E G H

L J K I L K I K L

x = y = z =

A B C A B C A B C

E F G E F G E F G

I J K I J K I J K

Notice in the second example, the elements of the determinants in the

denominators correspond to the coefficients in the left side of the equations.

Also, notice how the constants D, H, and L (they're constants because they are

not coefficients of x, y, nor z) are in a column and are positioned

accordingly in the determinants of the numerators. This process can be

applied to four equations with four variables, and so on.

Well, I hope you understood that short lesson in higher mathematics.

I also hope you find this program useful.

Allen Kim, 7/20/91

December 16, 2017
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