Civil Engineering Reference
In-Depth Information
2.3
MAtRiX OPERAtiOnS
2.3.1
MATRIX ADDITION AND SUBTRACTION
Matrices of the same size can easily be added or subtracted. Addition is
achieved by adding the terms with the same row and column position.
For example, if matrix [
A
] and [
B
] were to be added to obtain matrix [
C
],
the following equations would be valid:
[]
+
[]
=
[]
+=
+=
ABC
abc
abc
11
11
11
12
12
12
abc
ij
+=
ij
ij
Matrix subtraction follows the same form as addition where the matrices
are of the same size.
[]
−
[]
=
[]
−=
−=
ABC
abc
abc
11
11
11
12
12
12
abc
ij
−=
ij
ij
Example 2.1
Matrix addition and subtraction
Add matrix [
A
] and [
B
] and then subtract matrix [
B
] from [
A
].
246
793
651
124
652
430
[]
=
[]
=
A
and
B
Addition
:
246
793
651
124
652
430
3610
13 14 5
10081
[]
+
[]
=
AB
+
=
