VIAS Encyclopedia: Fundamental Theorems for Matrices

VIAS Encyclopedia provides a collection of tables and definitions commonly needed in science and engineering.

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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 λ(A + B) = λA + λB 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 This text is part of "Teach/Me Data Analysis" and has been included by permission of the author.
Home Mathematics Matrix Algebra Fundamental Theorems for Matrices

Last Update: 2010-12-14