QUESTIONNN MATRICES?

[physics]

The order of matrix A is 3*2 and the number of columns of matrix B is 3.
If the results of A(B+C) is a 3*3 matrix then the order of matrix C must be?
A. 2X3
B.3x2
C.2x2
D.3x3
E.1x3

well i SAID
 since A=3x2 and B= zx3 and resulting matrix must be 3x3 meaning C has to be yx3 but in order for B and C to be able  to be added y=3 so that there can be in correct order blah blah. what i dont get is how
the answer is 2x3!!!!!!!!!!!!
oh wait is it because addition has to have the same order
BUT

multipplaction needs the same mxn=nxz or something/

[98.40_for_sure]

I don't do further but i'm pretty sure it's the same concept as methods?
For multiplication to be possible, the number of columns of matrix 1 has to be the same as number of rows of matrix 2.
Thus if matrix A is 3*2, then (B+C) has to be 2*?, the ? is a 3 since they told you.
You can only add B and C if they have the same dimensions.
And they even told you the result of multiplication is a 3*3 matrix, so matrix A has to be 3*? and matrix (B+C) has to be ?*3

[mojomojo]

The answer should be A?

The result is 3x3 and matrix A is 3x2... Therefore the product of (B+C) must be 2x3 in order to make a 3x3, and only matrix with the same order can be added/subtracted with each other.. so it should be 2x3.

[gold104]

The answer should be A?

The result is 3x3 and matrix A is 3x2... Therefore the product of (B+C) must be 2x3 in order to make a 3x3, and only matrix with the same order can be added/subtracted with each other.. so it should be 2x3.

I also believe its A..

[TyErd]

yup its A