Matrix Addition Calculator
Matrix is a grid function that has an ordered rectangular array of numbers. The numbers present in the array are called the entities. The numbers are arranged in rows and columns. The horizontal arrangement is called rows and the vertical arrangement of numbers is called columns.
What is Matrix Addition Calculator?
'Matrix Addition Calculator' is an online tool that helps to calculate the sum of two given matrices. Online Matrix Addition Calculator helps you to calculate the sum of two given matrices in a few seconds.
Matrix Addition Calculator
How to Use the Matrix Addition Calculator?
Please follow the steps below on how to use the calculator:
- Step 1: Choose a drop-down list to find the sum for 2 × 2, and 3 × 3 matrices.
- Step 1: Enter the numbers in the input boxes.
- Step 2: Click on the "Add" button to calculate the sum of two given matrices.
- Step 3: Click on the "Reset" button to clear the fields and find the sum for different matrices values.
How to Add Two Matrices?
Matrix is a mathematical function to represent a set of data usually a matrix used is a 2D matrix and used for purposes of vector addition, vector multiplication etc. To add the given matrices:
Addition = \( \begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \end{bmatrix} \) + \( \begin{bmatrix} j & k & l \\ m & n & o \\ p & q & r \end{bmatrix} \) \( = \begin{bmatrix} a+j & b+k & c+l \\ d+m & e+n & f+o \\ g+p & h+q & i+r \end{bmatrix} \)
Solved Examples on Matrix Addition Calculator
Example 1:
Find the sum of given matrices \( \begin{bmatrix} 1 &2 \\ 3 & 4 \end{bmatrix} \) & \( \begin{bmatrix} 2 &1 \\ 4 & 2 \end{bmatrix} \)
Solution:
Given: Matrix 1 = \( \begin{bmatrix} 1 &2 \\ 3 & 4 \end{bmatrix} \) & Matrix 2 = \( \begin{bmatrix} 2 &1 \\ 4 & 2 \end{bmatrix} \)
Matrix 1 + Matrix 2 = \( \begin{bmatrix} 1 &2 \\ 3 & 4 \end{bmatrix} \) + \( \begin{bmatrix} 2 &1 \\ 4 & 2 \end{bmatrix} \)
= \( \begin{bmatrix} 1+2 &2+1 \\ 3+4 & 4+2 \end{bmatrix} \)
= \( \begin{bmatrix} 3 &3 \\ 7 & 6 \end{bmatrix} \)
Example 2:
Find the sum of given matrices \( \begin{bmatrix} 3 &-4 \\ 7 & -8 \end{bmatrix} \) & \( \begin{bmatrix} 4 &2 \\ 7 & -4 \end{bmatrix} \)
Solution:
Given: Matrix 1 = \( \begin{bmatrix} 3 &-4 \\ 7 & -8 \end{bmatrix} \) & Matrix 2 = \( \begin{bmatrix} 4 &2 \\ 7 & -4 \end{bmatrix} \)
Matrix 1 + Matrix 2 = \( \begin{bmatrix} 3 &-4 \\ 7 & -8 \end{bmatrix} \) + \( \begin{bmatrix} 4 &2 \\ 7 & -4 \end{bmatrix} \)
= \( \begin{bmatrix} 3+4 &-4+2 \\ 7+7 & -8-4 \end{bmatrix} \)
= \( \begin{bmatrix} 7 &-2 \\ 14 &-12 \end{bmatrix} \)
Similarly, you can use the calculator to add the given matrices
- \( \begin{matrix} 2 & -1 & 3 \\ 4 & -5 & 1 \\ 1 & 6 & 7 \end{matrix} \) + \( \begin{matrix} 3 & -4 & 7 \\ 8 & 1 & 5 \\ 6& -5 & 3 \end{matrix} \)
- \( \begin{matrix} -4 &2 \\ -3 & 4 \end{matrix} \) + \( \begin{matrix} 2 &1 \\ 4 & 2 \end{matrix} \)