Teach/Me Data Analysis

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	Index
See also: matrix algebra

Fundamental Theorems for Matrices

The following collection of formulas contains the most important rules of matrix algebra:

A + B = B + A

(A + B) + C = A + (B + C)
(AB)C = A(BC)
C(A + B) = CA + CB
l(A + B) = lA + lB

transposed matrices:

(A^T)^T = A
(A + B)^T = A^T + B^T
(AB)^T = B^TA^T
(ABC)^T = C^TB^TA^T

inversion of matrices:

(AB)^-1 = B^-1A^-1
(ABC)^-1 = C^-1B^-1A^-1
(A^-1)^-1 = A

(A^T)^-1 = (A^-1)^T

Last Update: 2004-Jul-03