Question

What happens when you multiple a column vector(1xn) with a matrix(nxn) in that order? Or the reverse, a matrix with a row vector

Answer 1

a column vector would be (nx1), right?

Answer 2

do you agree or not?
this is important for answering your question

Answer 3

(nx1) is a row vector, given n>1

Answer 4

right, no you want to know about multiplying row vectors or column vectors?

Answer 5

so you want to*

Answer 6

Sorry, column * matrix in tha order

Answer 7

I am having a hard time justifying it, but either way it will result in an (nx1) column vector, though it will be different depending on whether the column vector is before or after the (nxn) matrix

Answer 8

I think you're right, vectors*matrices must be commutative, but matrix*matrix is not?

Answer 9

the resulting matrix will have teh number of rows from the first, and the number of columns from the second

Answer 10

ya know I am doing terrible at this explanation right now I am too tired, I'm sorry

Answer 11

the (nx1)(nxn) should make an (nxn) matrix
the (nxn)(nx1) should make an (nx1) matrix

Answer 12

Oh, it becomes an outer product?