Matrix calculator

author: Tomáš Vopat

Program commands

HELP\tshow help page\n EXIT\tterminate program\n LIST\tshow all variables and their values\n

Matrix Definition

<matrix name> = MATRIX <matrix type> [<row count>,<column count>]\n

matrix type:

-F\tfull matrix\n -S\tsparse matrix\n

SCAN

<val[0,0]> <val[0,1]> <val[0,2]> ... <val[1,0]> <val[1,1]> ...\n

description:

scan elements of the matrices\n

example:

A = MATRIX -F [2,3]\n SCAN A\n 1 2 3 4 5 6\n PRINT A\n

result:

A:\n \t1 2 3\n \t4 5 6\n

Show value in matrix

<matrix name> (<row>,<column>)\n

description:

show element on <row>.row <column>.column in matrix <matrix name>\n

Set value in MATRIX

<matrix name> (<row>,<column>) = <value>\n

description:

set element on <row>.row <column>.column in matrix <matrix name> to value <value>\n

Binary operators

1. option:

<matrix name A> <operator> <matrix name B>\n

description:

print result of binary operation\n

2. option:

<matrix name C> = <matrix name A> <operator> <matrix name B>\n

description:

store result of binary operation to variable <matrix name C>\n

Binary operators

+\taddition\n -\tsubtraction\n *\tmultiplication\n

addition

sizes of both matrices must be equal\n

example:

A + B\n C = A + B\n

subtraction

sizes of both matrices must be equal\n

example:

A - B\n C = A - B\n

multiplication:

width of first matrix must be equal to the height of the second matrix\n

example:

A * B\n C = A * B\n

Operations with MATRIX

MERGE

MERGE <merge type> <matrix name A> <matrix name B>\n <matrix name C> = MERGE <merge type> <matrix name A> <matrix name B>\n

marge type:

-H\tmerge matrices horizontally\n -V\tmerge matrices vertically\n

example:

MERGE -H A B\n C = MERGE -V A B\n

CUT

CUT <matrix name> <top-left position> <bottom-right position>\n

description:

Operation to crop the matrix within specified positions top-left and bottom-right element included.\n

example:

CUT A (1,0) (2,1)\n C = CUT A (1,0) (2,1)\n

TRANS

TRANS <matrix name>\n

description:

Operation to transpose the matrix.\n

example:

TRANS A\n C = TRANS A\n

INV

INV <matrix name>\n

description:

Operation to count inverted matrix. ONLY for square matrices.\n

example:

INV A\n C = INV A\n

GEM

GEM <matrix name>\n

description:

Operation to perform Gaussian elimination.\n

example:

GEM A\n C = GEM A\n

DEM

DET <matrix name>\n

description:

Count determinant of the matrix. ONLY for square matrices.\n

example:

DET A\n

RANK

RANK \n

description:

Count rank of the matrix.\n

example:

RANK A\n