Matrix addition

We can only add together matrices with the same order.

Adding matrices

To add matrices, simply add up the corresponding elements from each matrix.

Find where and

• We add the corresponding elements:
  • Top-left:
  • Top-right:
  • Bottom-left:
  • Bottom-right:
• So,
• Answer:

Find where and

• We add the corresponding elements:
  • Top-left:
  • Top-middle:
  • Top-right:
  • Bottom-left:
  • Bottom-middle:
  • Bottom-right:
• So,
• Answer:

Commutative

• Matrix addition is commutative.
• We can add matrices in any order:

Associative

• Matrix addition is associative.
• We can group matrices in any way when adding: