Operations on two matrices






Determinants  Eigenvalues  Inverse  Overview  Rank  Rotation  Scaling  Transposed  Types  NOTES 




The notation of a matrix of size (m ✕n) is defined as A(m ✕ n) = A(row, column)


A convenient shorthand which offers considerable advantage when working
with system of linear equations is by using the matrix notation.
Consider the set of linear equations of the form:





Matrices addition: A and B are of the same size m × n 

Scalar multiplication  





Determinants  symbol: det A or A  
The result of the determinant of a matrix (n ⨯ n) is a real number.  






























Enlarging or shrinking a vector can be done by multiplying the vector by the diagonal matrix of the form:
