What All Should I Add in a Matrix Class ?

Question

I was creating a Matrix Class for the past few days, But still want to know what all can I add in it, so that is gets better.

BTW, it is valid for Real and Complex Numbers and Here's what it can do till date:

/// Matrix Constructor - Initializes the Matrix and Sets Default elements to 0
/// Reads a Matrix
/// Prints a Matrix
/// Sets the Number of Rows
/// Sets the Number of Columns
/// Returns the Number of Rows of a Matrix
/// Returns the Number of Columns of a Matrix
/// Assigns a value to an element of a Matrix
/// Returns an element of a Matrix located at rc and cc
/// Sorts a Particular Row of a Matrix
/// Sorts a Particular Column of a Matrix
/// Returns a SubMatrix from a Matrix
/// Flips a Matrix Along Row, Column or Diagonal
/// Extracts the Row from a Matrix
/// Extracts the Column from a Matrix
/// Extracts the Diagonal from a Matrix
/// Generates a Skew-Symmetric Matrix from Matrix A
/// Generates a Symmetric Matrix from Matrix A
/// Swaps two Rows or Columns in a Matrix
/// Shifts a Row/Column to a New Position in a Matrix
/// Multiplies a Row or Column by a constant
/// Performs Elementary Transformations (Gauss-Jordan Method) on a Matrix - User
/// Returns the Matrix as a Clockwise Spiral
/// Resizes the Matrix, Restoring Old Values...
/// Resizes the Matrix, Deleting Old Values...
/// Returns the Sum of All Elements of the Matrix
/// Fills a Value in the Entire Matrix
/// Fills the Diagonal and the rest of the Matrix with different values
/// Converts the Matrix to I ( Identity Matrix )

Answer 1

Here I've done a bit research and in math stackExchange I've filtered an extensive Q/A results for you. Skim through them and you might find some good idea on how you can make your project better.

https://math.stackexchange.com/search?q=matrix+operations

Answer 2

@Babak Sheykhan (PERS)
Thanks a Lot!

Answer 3

Also :

///Operators -
/// Checks if two Matrices are Equal
/// Checks if two Matrices are Unequal
/// Adds two Matrices
/// Subtracts two Matrices
/// Multiplies two Matrices
/// Divides two Matrices - Multiplication by Inverse
/// Assigns M2 with the values of M1
/// Returns Transpose of a Matrix
/// Returns Sum of M1 and M2 in M1
/// Returns Difference of M1 and M2 in M1
/// Returns Product of M1 and M2 in M1
/// Returns Scalar Product of M1 with Constant in M1
/// Returns Quotient of M1 and M2 in M1
/// Returns Scalar Quotient of M1 with Constant in M1
/// Raises Matrix A to Power of an Integer
/// Returns Kronecker Product of Two Matrices M1 and M2
/// Friend Functions
/// Fills values using a Relation - Lambda Function or Functor
/// Sorts the Entire Matrix in Ascending/Descending Order
/// Returns A^-1 of Matrix A - One can also use ^ for Inverse
/// Returns Adjoint of M1
/// Returns a Cofactor Matrix of Matrix a.
/// Returns Determinant of M1
/// Returns Scalar Product of M1 with a Constant
/// Overload of << Operator for cout & >> Operator for cin
/// Saves Absolute Value Matrix of a Matrix A in A
///Specialized Template Functions for Particular Data Types
/// Randomly fills an Integer Matrix According to a Range
/// Converts Complex Matrix to Polar Form
/// Converts Complex Matrix to Conjugate Matrix
/// Returns Real or Imaginary Part Matrix
/// Converts Complex Matrix to Identity Matrix
/// Returns Conjugate Transpose Matrix of a Complex Matrix
/// Interchanges Real and Imaginary Parts of a Complex Matrix

Answer 4

I wasn't able to understand those myself, so making a function will surely take time... 😅

BTW, Thanks for answering!

Answer 5

@Babak Sheykhan (PERS)
Added Row Echelon form and Reduced Row Echelon Conversions...
Trying to add LU-Decomposition...

Answer 6

reduced row echelon form operations must be the trickiest one that I have encountered, but I don't suggest you to implement that.