Performs various matrix operations and clearly displays each calculation made allowing for easy understanding.

• Two matrices must have an equal number of rows and columns to be added.
• The sum of two matrices A and B will be a matrix which has the same number of rows and columns as A and B.
• The sum of A and B, denoted A + B, is computed by adding corresponding elements of A and B.

• Two matrices must have an equal number of rows and columns to be subtracted.
• The difference of two matrices A and B will be a matrix which has the same number of rows and columns as A and B.
• The difference of A and B, denoted A - B, is computed by subtracted corresponding elements of A and B.

• Matrix A must have the same number of columns as B does rows in order to be multiplied with eachother.
• If A is an n × m matrix and B is an m × p matrix, their matrix product A × B is an n × p matrix.
• The m entries across a row of B are multiplied with the m entries down a column of B and summed to produce an entry of A × B.

• Denoted λA, where λ is some scalar and A is a matrix, scalar multiplication multiplies every element in matrix A by the scalar λ.