Matrix

SetDimensions

Sets the dimensions (number of rows and columns) of the matrix.

• Input Parameters: - Rows: The number of rows in the matrix. - Columns: The number of columns in the matrix.

• Return Value: - None.

SetValue

Sets the value at a specific position in the matrix.

• Input Parameters: - Row: The row index of the position. - Column: The column index of the position. - Value: The value to be set.

• Return Value: - None.

GetValue

Retrieves the value at a specific position in the matrix.

• Input Parameters: - Row: The row index of the position. - Column: The column index of the position.

• Return Value: - The value at the specified position.

GetRowCount

Returns the number of rows in the matrix.

• Input Parameters: - None.

• Return Value: - The number of rows in the matrix.

GetColumnCount

Returns the number of columns in the matrix.

• Input Parameters: - None.

• Return Value: - The number of columns in the matrix.

ToString

Converts the matrix to a string representation.

• Input Parameters: - None.

• Return Value: - A string representation of the matrix.

Add

Performs matrix addition with another matrix.

• Input Parameters: - Other: The matrix to be added.

• Return Value: - A new matrix resulting from the addition.

Subtract

Performs matrix subtraction with another matrix.

• Input Parameters: - Other: The matrix to be subtracted.

• Return Value: - A new matrix resulting from the subtraction.

Multiply

Performs matrix multiplication with another matrix.

• Input Parameters: - Other: The matrix to be multiplied.

• Return Value: - A new matrix resulting from the multiplication.

Transpose

Returns the transpose of the matrix.

• Input Parameters: - None.

• Return Value: - A new matrix representing the transpose.

Determinant

Calculates the determinant of the matrix.

• Input Parameters: - None.

• Return Value: - The determinant of the matrix.

ScalarMultiply

Multiplies the matrix by a scalar value.

• Input Parameters: - Scalar: The scalar value to multiply the matrix by.

• Return Value: - A new matrix resulting from the scalar multiplication.

Trace

Calculates the trace of the matrix.

• Input Parameters: - None.

• Return Value: - The trace of the matrix.

Rank

Calculates the rank of the matrix.

• Input Parameters: - None.

• Return Value: - The rank of the matrix.

Stack

Push

Adds an object to the top of the stack.

• Input Parameters: - Obj: The object to be pushed onto the stack.

• Return Value: - None.

Pop

Removes and returns the object from the top of the stack.

• Input Parameters: - None.

• Return Value: - The object that was removed from the top of the stack.

Peek

Returns the object at the top of the stack without removing it.

• Input Parameters: - None.

• Return Value: - The object at the top of the stack.

IsEmpty

Checks if the stack is empty.

• Input Parameters: - None.

• Return Value: - A boolean indicating whether the stack is empty.

Trie

Functions:

Insert

Inserts a word into the trie.

• Input Parameters: - Word: The word to be inserted.

• Return Value: - None.

Search

Searches for a word in the trie.

• Input Parameters: - Word: The word to search for.

• Return Value: - A boolean indicating whether the word is present in the trie.

StartsWith

Checks if there is any word in the trie that starts with a given prefix.

• Input Parameters: - Prefix: The prefix to check.

• Return Value: - A boolean indicating whether there is a word in the trie that starts with the given prefix.