Worksheet on Addition of Matrices | Find the Sum of Two Matrices

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Practice the problems given in the worksheet on addition of matrices.

If M and N are the two matrices of the same order, then the matrices are said conformable for addition, and their sum is obtained by adding the corresponding elements of M and N.

1. Find the sum of A and B where A = (begin{bmatrix} 2 & 3\ -5 & 7 end{bmatrix}) and B =  (begin{bmatrix} 4 & 6\ 2 & -11 end{bmatrix})

2. Find A + B when A = (begin{bmatrix} 2 & 3 & 4\ 5 & 6 & 7\ 8 & 5 & 11 end{bmatrix}) and B = (begin{bmatrix} 3 & -2 & -3\ 5 & 4 & 3\ 1 & 3 & 2 end{bmatrix})


3. If A = (begin{bmatrix} -1 & 2 & -3\ -2 & 1 & 4 end{bmatrix}) and B = (begin{bmatrix} 0 & -1 & 2\ 3 & 0 & 1 end{bmatrix}), then find the sum of A and B.

4. If (begin{bmatrix} 2 & 3\ -5
& 4 end{bmatrix}) + (begin{bmatrix} -2 & 1\ x & 3end{bmatrix})
= (begin{bmatrix} 0 & 4\ -3 & 9 end{bmatrix}), find the value of
x.

5. Given A = (begin{bmatrix} 1 & 4\
2 & 3 end{bmatrix}) and B = (begin{bmatrix} -4 & -1\ -3 & -2
end{bmatrix}), compute A + B.

6. If (begin{bmatrix} 5 & -3\ 2
& 4 end{bmatrix}) + A = (begin{bmatrix} 1 & 0\ 0 & 1
end{bmatrix}), find the matrix A.

7. Given M = (begin{bmatrix} 1 & 3\
2 & 4 end{bmatrix}), find a matrix N such that M + N = (begin{bmatrix}
0 & 0\ 0 & 0 end{bmatrix}).  

8. If A = (begin{bmatrix} 1 & 0 &
2\ 0 & 2 & 3\ 1 & 0 & 0 end{bmatrix}), B = (begin{bmatrix}
0 & -1 & 0\ -2 & 0 & 3\ 0 & 1 & 2 end{bmatrix}) and
C = (begin{bmatrix} 2 & 3 & 1\ 0 & 0 & -3\ 1 & 1 &
-1 end{bmatrix}), find A + B + C.

Answers for the worksheet on addition of
matrices are given below.

Answers:

1. (begin{bmatrix} 6 & 9\ -3 &
-4 end{bmatrix})

2. (begin{bmatrix} 5 & 1 & 1\ 10
& 10 & 10\ 9 & 8 & 13 end{bmatrix})

3. (begin{bmatrix} -1 & 1 & -1\
1 & 1 & 5 end{bmatrix})

4. x = 2

5. (begin{bmatrix} -3 & 3\ -1 &
1 end{bmatrix})

6. (begin{bmatrix} -4 & 3\ -2 & -3
end{bmatrix})

7. (begin{bmatrix} -1 & -3\ -2 &
-4 end{bmatrix})

8. (begin{bmatrix} 3 & 2 & 3\ -2
& 2 & 3\ 2 & 2 & 1 end{bmatrix})

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10th Grade Math

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