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 \(\begin{bmatrix} 2 & 3\\ -5 & 4 \end{bmatrix}\) + \(\begin{bmatrix} -2 & 1\\ x & 3\end{bmatrix}\) = \(\begin{bmatrix} 0 & 4\\ -3 & 9 \end{bmatrix}\), 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. \(\begin{bmatrix} 3 & 2 & 3\\ -2 & 2 & 3\\ 2 & 2 & 1 \end{bmatrix}\)
From Worksheet on Addition of Matrices to HOME
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Oct 13, 24 01:03 PM
Oct 10, 24 10:06 AM
Oct 10, 24 03:19 AM
Oct 09, 24 05:16 PM
Oct 08, 24 10:53 AM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.