Question

Matrix H Matrix I
2 x 4 2 x 4
3 x 5 5 x 9
4 x 7 7 x 4
7 x 3 4 x 7
5 x 5 5 x 9
2 x 8 2 x 8
6 x 9 9 x 13
3 x 4 4 x 3
10 x 15 10 x 10
8 x 6 6 x 5

Please tell me next to the matrix dimensions that can be added and indicate the dimensions of the sum matrix. In the matrices that cannot be added, write a brief explanation as to why they cannot be added.

Answer 1

HELP

Answer 2

Matrices have to be of the same exact dimension (same width and same length) when adding because you are adding element-by-element. So you cannot add a 3x2 matrix to a 2x3. Has to be another 3x2.

Answer 3

2 x 4 2 x 4 <------ADDED
3 x 5 5 x 9
4 x 7 7 x 4
7 x 3 4 x 7
5 x 5 5 x 9
2 x 8 2 x 8 <-------ADDED
6 x 9 9 x 13
3 x 4 4 x 3
10 x 15 10 x 10
8 x 6 6 x 5
matrices can only be added if they have same dimension.

Answer 4

& next two the ones that cannot be added i need a explanation of why they cant be

Answer 5

...

Answer 6

Well ,combining both answers, let's look at the first pair of matrices that cannot be added, which is the second line where you have the 3x5 and the 5x9. This explanation will hold for all of the ones that cannot be added. The 3x5 matrix means 3 rows and 5 columns. There is no "4th row" or 5th row for that matter. There is no element, say, in 4th row column 1 to add to what is being expected to be added to in the second matrix. Its like saying a + (nothing) which looks like a + . You need 2 things to add when adding. Something on both sides of the operation symbol.

Answer 7

The shorter answer is in my first response: matrices have to be added element-by-element. Real short answer: no corresponding element. If you need an explanation beside each line, whoever is asking the question wants a little detail, so for line 2, you can say: no corresponding rows 4 and 5 in matrix 1 and no corresponding columns 6 thru 9 in matrix 1. Other answers will be similar. You try one.