X = 1 2 3 -1 0 4 Y = 1 0 4 -3 2 -2 What is the sum of matrix X and matrix Y?
Mathematics · College · Thu Feb 04 2021
Answered on
To find the sum of two matrices, you simply add the corresponding elements from each matrix. Matrix addition is only possible when both matrices have the same dimensions, which in this case both matrices are 2 by 3. Let's add matrices X and Y element-wise:
Matrix X: [ 1 2 3 ] [-1 0 4 ]
Matrix Y: [ 1 0 4 ] [-3 2 -2 ]
Now, adding X and Y together:
Matrix (X+Y): [ (1+1) (2+0) (3+4) ] [ (-1-3) (0+2) (4-2) ]
This gives us the resulting matrix: [ 2 2 7 ] [ -4 2 2 ]
So the sum of matrix X and matrix Y is: [ 2 2 7 ] [ -4 2 2 ]