## Related questions with answers

Question

You usually state the Distributive Property for number algebra in just one equation.

$a(b+c)=ab+ac$

Explain why the Distributive Property for matrices was stated in two equations. $A(B+C)=AB+AC$ and

$(B+C)A=BA+CA$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2The Distributive Property for matrices was stated in two equations because, unlike in number algebra, matrices multiplication is not commutative, therefore the order in which the matrices are multiplied matters.

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