Can you add matrices of different "sizes"?

Question

Don't know if size is the right word.
[ 2 -1 6] + [ -4 5]
[ 3 0 -9] [ 7 5]

Answer 1

No, you can´t.
If you do so, you'll notice there'll be extra digits wich you cannot add to any other.

Answer 2

No, addition of matrices is defined only for same size matrices. You can, however, multiply matrices that have different dimensions with the following restriction: If A is a m x n matrix and B is an n x p matrix, then AB is an m x p matrix whose entry AB_ij, 0<=i<=m 0<=j<=p is obtained by taking the dot product of row i of A with column j of B

In your case, neither [ 2 -1 6] + [ -4 5] nor [ 3 0 -9] [ 7 5] are defined (why?)

hope this helps

Answer 3

Adding Two Matrices

Answer 4

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Hi, No, to add or subtact matrices, their number of rows must match with each other and their number of columns must match with each other. You could add a [2 x 5] to another [2 x 5]. You could subtract a [7 x 3] from another [7 x 3]. To multiply matrices, the number of columns in the first matrix must be equal to the number of rows in the second matrix. You could multiply a [2 x 5] by a [5 x 3] because the 5s match (columns = rows) I hope that helps!! :-)

Answer 5

I think you could by adding in 0's.

I mean, each verticle line in a matrix represents an equation (with each row a different variable). And you can certainly add x+y+z=1 to x+y=2 if you change the second one to 1x+1y+0z=2... y'know.

I'm not sure, though.
Sorry!

Answer 6

No, you cannot add matrices with different dimensions.
Sort of like apples and oranges - they're all different, and
are used to describe (delimit) different things.

Answer 7

no they need the same # of rows and columns

Answer 8

no

Answer 9

No!