ADDING AND SUBTRACTING MATRICES WORKSHEET

Problems 1-4 : Find the sum of the given matrices.

Problem 1 :

Problem 2 :

Problem 3 :

Problem 4 :

Problem 5 :

Find the values of a, b, c and d in the following matrix equation.

Problems 6-9 : Find the difference of the given two matrices.

Problem 6 :

Problem 7 :

Problem 8 :

Problem 9 :

Problem 10 :

Find the values of p, q, r, s and t in the following matrix equation.

Answers

1. Answer :

Order of the first matrix = 2 x 2

Order of the second matrix = 2 x 2

Since the order the first matrix and order of the second matrix are equal, we can find the sum of the above two matrices.

2. Answer :

Order of the first matrix = 3 x 3

Order of the second matrix = 3 x 3

Since the order the first matrix and order of the second matrix are equal, we can find the sum of the above two matrices.

3. Answer :

Order of the first matrix = 2 x 3

Order of the second matrix = 2 x 3

Since the order the first matrix and order of the second matrix are equal, we can find the sum of the above two matrices.

4. Answer :

Order of the first matrix = 2 x 2

Order of the second matrix = 3 x 2

Since the order the first matrix and order of the second matrix are NOT equal, addition of the above two matrices is undefined.

5. Answer :

Since the above two matrices are equal of the same order, the corresponding elements can be equated.

6. Answer :

Order of the first matrix = 2 x 2

Order of the second matrix = 2 x 2

Since the order the first matrix and order of the second matrix are equal, we can find the difference of the above two matrices.

7. Answer :

Order of the first matrix = 2 x 3

Order of the second matrix = 2 x 3

Since the order the first matrix and order of the second matrix are equal, we can find the difference of the above two matrices.

8. Answer :

Order of the first matrix = 4 x 2

Order of the second matrix = 4 x 2

Since the order the first matrix and order of the second matrix are equal, we can find the difference of the above two matrices.

9. Answer :

Order of the first matrix = 2 x 3

Order of the second matrix = 3 x 2

Since the order the first matrix and order of the second matrix are NOT equal, difference of the above two matrices is undefined.

10. Answer :

Since the above two matrices are equal of the same order, the corresponding elements can be equated.

p = -4

q = -14

r = -1

s = -1

t = 3

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