State the Properties of matrix addition.

Khadija Wells

Khadija Wells

Answered question

2021-01-31

State the Properties of matrix addition.

Answer & Explanation

tafzijdeq

tafzijdeq

Skilled2021-02-01Added 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
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-24Added 2605 answers

Answer is given below (on video)

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