Explanation

Matrix operations follow familiar algebra rules.

Key properties:

• Commutative (addition): A + B = B + A

• Associative (addition): (A + B) + C = A + (B + C)

• Distributive: k(A + B) = kA + kB

• Identity matrix: Adding zero matrix changes nothing

Quiz

1. Is matrix addition commutative?

2. Is scalar multiplication distributive?

3. What is the zero matrix?

4. Does order matter in addition?

5. Does scalar multiplication affect size?

Answer Key

1. Yes

2. Yes

3. Matrix of all zeros

4. No

5. No