Add

Matrix Addition = the sum of two (or more) m x n matrices is an m x n matrix in which each pair of corresponding entries are added together.

To sum up:

1. Matrix addition is for same size matrices
2. Sum corresponding entries

Matrix Addition Examples

Here is a generic example:

Here is an example with numbers:

and

Matrix Addition Practice: Find each of the following given the matrices.

#1) A + B
#2) A - B
#3) A + C

Homework

Matrix Addition

Given the matrices A, B, C, D and E find each of the following sums and differences.

#1) A + B
#2) B - B
#3) A + C
#4) A - C
#5) B + C
#6) C + C
#7) A + B + C
#8) A - B - C
#9) A + B - C
#10) C - B - A

#11) D + E
#12) E - D
#13) F + F
#14) E - F
#15) Why is it impossible to add matrices A and D?

Answers Matrix Addition

#15) Matrix A and D cannot be added because they are different sizes.  Matrix A is 2x4 and Matrix D is 4x1.  In order to add to matrices, they must be the same size.

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