Answer:
Addition and multiplication
Step-by-step explanation:
The commutative property holds good for the addition of two matrices.
Because addition of matrices mean adding the corresponding entries. Since addition is commutative we have addition of matrices which involve adding the corresponding entries is also commutative
But product of two matrices is not commutative.
Eg: Consider A = [tex]\left[\begin{array}{ccc}1&0&0\\4&1&1\\7&2&3\end{array}\right][/tex]
and B =[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
We get AB = [tex]\left[\begin{array}{ccc}1&2&3\\15&21&27\\36&48&60\end{array}\right][/tex]
and BA =
[tex]\left[\begin{array}{ccc}30&8&11\\66&17&23\\102&26&35\end{array}\right][/tex]
proving AB not equals BA.
Answer:
The commutative property holds for the Addition of two matricies but does not hold subtraction for the of two matricies.
