State the Properties of matrix addition.

Khadija Wells 2021-01-31 Answered
State the Properties of matrix addition.
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tafzijdeq
Answered 2021-02-01 Author has 92 answers
Step 1
Addition of Matrices
Two matrices may be added only if they have the same dimension. That is, they must have the same number of rows and columns. Addition of two matrixes is accomplished by adding the corresponding entry of each matrix together.
[acbd]+[xzyw]=[a+xc+zb+yd+w]
Step 2
Properties of addition:
Let A,B and C be m×n matrices
1. Commutative Law A+B=B+A
2. Associative Law A+(B+C)=(A+B)+C
3. Additive identity A+O=A Where O is the zero matrix
4. Additive inverse A+B=O where B=-A
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Jeffrey Jordon
Answered 2022-01-24 Author has 2064 answers

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