Matrices are useful to record data that depend on two categories, or to keep track of the coefficients of linear expressions such as linear transformations and [systems of linear equations]?. |
Matrices are useful to record data that depend on two categories, or to keep track of the coefficients of linear expressions such as linear transformations and [systems of linear equations]?. |
The set M(n, R) of all square n-by-n matrices with real entries, together with matrix addition and matrix multiplication is a ring, in fact a real associative algebra. |
The set M(n, R) of all square n-by-n matrices with real entries, together with matrix addition and matrix multiplication is a ring, in fact a real [associative unitary algebra]?. |
The unit matrix In, with all elements on the main diagonal set to 1 and all other elements set to 0, gives the identity matrix. |
The unit matrix In, with all elements on the main diagonal set to 1 and all other elements set to 0, is the unit element of this ring. |
:See also Linear algebra -- Vector space -- Determinants -- Eigenvectors |
:See also Linear algebra -- Vector space -- Determinants -- Eigenvectors |