KindofSlow
Junior Member
- Joined
- Mar 5, 2010
- Messages
- 90
HelloAll,
Thisis from the document found here:
https://math.dartmouth.edu/archive/m12f10/public_html/RepresentingMatrix.pdf
(7) (Very importantexample) Let A be any m x n matrix.
Then A defines alinear map LA : Rn →Rm
(“left-multiplicationby A”) defined by LA(v) = Av for v ϵ Rn.
Note that this makessense: the matrix product of A (an n x m matrix) and v (a column vector in Rn,i.e., an n x 1 matrix) is an m x 1 matrix, i.e., a column vector in Rm.
My question:
First it says A is m x nmatrix, then it looks to me like it says A is an n x m matrix.
Is this a typo or amI misunderstanding?
Thank you
Thisis from the document found here:
https://math.dartmouth.edu/archive/m12f10/public_html/RepresentingMatrix.pdf
(7) (Very importantexample) Let A be any m x n matrix.
Then A defines alinear map LA : Rn →Rm
(“left-multiplicationby A”) defined by LA(v) = Av for v ϵ Rn.
Note that this makessense: the matrix product of A (an n x m matrix) and v (a column vector in Rn,i.e., an n x 1 matrix) is an m x 1 matrix, i.e., a column vector in Rm.
My question:
First it says A is m x nmatrix, then it looks to me like it says A is an n x m matrix.
Is this a typo or amI misunderstanding?
Thank you