CHAPTER 03.02: BINARY OPERATIONS: Adding two matrices Example

 

 

In this segment we will take an example of how we add 2 matrices. Letís suppose somebody says find [A]+[B] where [A] is given as -5, 7, 2, 3, 2.1, 5 and b is given to you b matrix is given to you as [B] 6, 3, -9, 2, 4, 11. So the 2 matrices are given to you and you are asked to find out what the addition of 2 matrices so the C matrix which would be the addition of the [A]+[B] matrix.

 

So the first thing which you have to recognize or show that the size of A and B is exactly the same. So here we have A which has 2 rows and 3 columns. So this is a 2 row 3 column matrix and this is also a 2 row 3 column matrix; so we have 2 rows and 3 columns here and 2 rows and 3 columns there. So we should be able to add the 2 matrices because they are of the same size. So in order to calculate what the value of C is we need to understand there are 6 elements, because the 2x3 matrix, so there are 6 elements in our resulting C matrix. And those are done element by element.

 

So if I do the first row first column here and the first row fist column here and add the 2 Iíll get 1 because -5 + 6 will be equal to 1. If I do the first row second column here and the first row second column here, add the two elements, Iíll get 10 first row third column here, first row third column here the addition is -7. Assumedly Iíll get 5 here 6.1 here and 16 here, and this particular matrix is also 2 rows and three columns; and thatís how the addition of 2 matrices is done. And thatís the end of this segment