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Properties of Inverse Matrices
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Properties of Determinants
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Properties of Transposes
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Properties of Matrix Multiplication
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Properties of the Identity Matrix
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Math Formulas
>
Linear Algebra
> Properties of Matrix Multiplication
Properties of Matrix Multiplication
If
A
,
B
and
C
are matrices with sizes such that the given matrix products are defined, then the following properties are true.
A
(
BC
) = (
AB
)
C
A
(
B + C
) =
AB
+
AC
(
A
+
C
)
∙ C
=
AC
+
BC
c(
AB
) = (c
A
)
B
=
A
(c
B
)
where c is a scalar.
Notice that
A∙B
≠
B∙A
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