What come first in matrices
Rows then columns
When can’t you add or subtract
If aren’t the same dimensions
What is the scalar
The number multiplied outside of the matrix
Associative property of addition
(A+B)+C=A+(B+C)
Commutative property of addition
A+B=B+A
Distributive property
K(A+B)=kA+kB
Distributive property of subtraction
K(A-B)= kA-kB
In order to multiply must be…
Same inner numbers
3X2 2X2
Associative property of matrix multiplication
A(BC)=(AB)C
Left distributive property
A(B+C)=AB+AC
Right distributive property
(A+B)C=AC+BC
Associative property of scalar multiplication
K(AB)=(kA)*B=A(kB)