Matricies Flashcards
What does confromable mean
When two matrices can multiply with each other and only happened if the number of colour sizes in first matches number of rows in second
What is associativity notation
(X * y) * Z= x * (y*z)
Commutativity notation ?
X* y= y*x
Distributive qualities
X ( P+ R) = XP + XR
Thus what are the matrix properties for associativity
Matrix multiplication is aaositive so A (Px B) = (AXP) XB
And addition but not subtraction
Commutative rules
Matrix mukitplications IS NOT
AB isn’t Ba
Unless one is identify or 0
Neither is subtraction but addtiion is
And distributive quality?
Matrix multiplication is distruibituve
Thus x (P+q) = XP + XQ
All rules basically
Addition is always yes for associative commutative, subtraction no for associative and comuutive
MULITPLICATION IS ASSOCIATIVE, BUT NOT COMMUTATIVE
And that multiplication is DISTRUBUTUTIVE !
Associative x (pXy) = (xXP ) xy
Commutative xy = yx
Distributive x (P+y) = Xp + Xy