Documentation:

This program is a matrix calculator that allows you to perform operations on matrices and numbers.

Matrix Calculator - User Manual

This program allows you to perform various operations on matrices and numbers.

Commands:

1. Matrix Operations:

• matrix new [zeros|ones|sameNumbers|identity|...] <parameters> [initAs <name>]: Creates a new matrix.

  • zeros: Creates a matrix filled with zeros.
  • ones: Creates a matrix filled with ones.
  • sameNumbers <number>: Creates a matrix filled with a specific number.
  • identity <size>: Creates an identity matrix of the given size.
  • ...: Creates a matrix by inputting its elements.
  • <parameters>: For zeros, ones, sameNumbers: rows columns. For identity: size. For inputting elements: rows columns
  • initAs <name>: Assigns a name to the created matrix. If omitted, the matrix is assigned the temporary name "buffer".

• matrix <name> [determinant|addTo|multiplyBy|multiplyByDigit|getRows|getColumns|power|transposition|inverse|getWithoutRow|getWithoutColumn|minor|algebraicComplements|get|set|...] [<parameters>] [putIn <name>] : Performs operations on an existing matrix.

  • determinant: Calculates the determinant of the matrix.
  • addTo <matrix name>: Adds the given matrix to the current matrix.
  • multiplyBy <matrix name>: Multiplies the current matrix by the given matrix.
  • multiplyByDigit <number name>: Multiplies the current matrix by the given number.
  • getRows: Returns the number of rows in the matrix.
  • getColumns: Returns the number of columns in the matrix.
  • power <power>: Raises the matrix to the given power.
  • transposition: Returns the transposed matrix.
  • inverse: Returns the inverse of the matrix.
  • getWithoutRow <row number>: Returns a new matrix without the specified row.
  • getWithoutColumn <column number>: Returns a new matrix without the specified column.
  • minor <row number> <column number>: Calculates the minor of the matrix at the given row and column.
  • algebraicComplements <row number> <column number>: Calculates the algebraic complement of the matrix at the given row and column.
  • get <row number> <column number>: Returns the element at the given row and column.
  • set <row number> <column number> <number name>: Sets the element at the given row and column to the specified number.
  • <parameters>: Depends on the specific operation (e.g., matrix name for addTo, power for power, etc.).
  • putIn <name>: Assigns the result of the operation to the given name.

• matrix <name>: Prints the matrix with its current name.

2. Number Operations:

• number new <number> [initAs <name>]: Creates a new number.

  • <number>: The number to be stored. Can be a decimal or fraction.
  • initAs <name>: Assigns a name to the created number. If omitted, the number is assigned the temporary name "buffer".

• number <name> [putIn <name>]: Copies a number to another name.

• putIn <name>: Assigns the copied number to the given name.

• number <name>: Prints the number with its current name.

3. General Commands:

• help: Displays a list of available commands.
• names: Prints a list of currently stored matrices and numbers.
• forget <matrix|number> <name>: Removes the specified matrix or number.
• exit: Exits the program.

Example Usage:

> matrix new zeros 2 3 initAs A
> matrix new ones 3 3 initAs B
> matrix A multiplyBy B putIn C
> matrix C
> number new 2.5 putIn x
> matrix C multiplyByDigit x
> number new 1/2 initAs frac
> number frac
> forget matrix C
> exit

Note: The program uses a case-insensitive approach to command and parameter names.

Notes:

• Matrix names and number names can be any string without spaces.
• You can use the name __buffer__ to store or get temporary results.
• Numbers can be entered as decimals or fractions (e.g., 3.14 or 1/2).