Physical Chemistry 3: — Chemical Kinetics — - Christian-Albrechts ...

Appendix D 276
I
Multiplication by a scalar:
C = A
(D.22)
with
=
(D.23)
I
Matrix multiplication:
C = A · B = AB
(D.24)
with
=
X
(D.25)
=1
Example:
µ µ µ µ
12 56 1 × 5+2× 71× 6+2× 8 19 22
=
34 78 3 × 5+4× 73× 6+4× 8 43 50
(D.26)
Notes:
(1) Matrix multiplication is defined only if the number of columns of the first matrix
is identical to the number of rows of the second matrix.
(2)
AB6= BA
(D.27)
I Singular matrices: AmatrixA is called singular, if its determinant vanishes:
det (A) =|A| =0
(D.28)