SOLUTION: let A be a 5 X 3 matrix and B be a 3 X 5 matrix a) is it possible to add A and B?..yes it is possible to add A and B b) is it possible to do the mulitplication AB c) is it possi

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Question 171320: let A be a 5 X 3 matrix and B be a 3 X 5 matrix
a) is it possible to add A and B?..yes it is possible to add A and B
b) is it possible to do the mulitplication AB
c) is it possible to do the mulitpilcation BA?...of course is it possible to multiply A and B
Found 2 solutions by Edwin McCravy, slasha:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
let A be a 5 X 3 matrix and B be a 3 X 5 matrix
a) is it possible to add A and B?

No, because in order to add them, they must have exactly 
the same dimensions.

b) is it possible to do the multiplication AB?

Yes because there are the same number of columns in the 
first matrix A, 5 x 3, as there are columns in B, the
3 x 5 matrix.  That is when you write their dimensions
in the order you are wanting to multiply them:

        5 x 3  times  3 x 5 

The inner dimensions are both the same, in this case 3.
And their product will be a 5 x 5, the outer two
dimensions.

c) is it possible to do the multipllication BA?

Yes because there are the same number of columns in the 
first matrix B, 3 x 5, as there are columns in A, the
5 x 3 matrix.  That is when you write their dimensions
in the order you are wanting to multiply them:

        3 x 5  times  5 x 3 

the inner dimensions are both the same, in this case 5.
And their product will be a 3 x 3, the outer two 
dimensions.

Edwin
Answer by slasha(1)   (Show Source): You can put this solution on YOUR website!
(a)yes it is possible to add A and B
(b)it is also possible to multiply AB
(c)of course BA can be multiplied
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