The discussion revolves around the interpretation of the equation ATx = 0, where A is a given matrix. Participants are exploring the implications of this notation and its relation to the nullspace of the transposed matrix A.
The conversation is ongoing, with participants seeking clarification on the notation and its implications. Some have offered insights into the conditions under which the multiplication is defined, while others are still grappling with the fundamental concepts.
There is mention of specific matrix dimensions and the potential inconsistency in the multiplication of matrices and vectors, which may affect understanding of the problem.
This doesn't mean anything to me. I believe it should be written ATx = 0. ATx is the product of A transpose and some vector x.negation said:What does ATx=0 means?
negation said:Does this notation means if A = [3,2;1,2;4,4], then, AT = [3,1,4;2,2,4]
and ATx [x1;x2;x3] = 0?
The nullspace of the transposed of the matrix A?
Mark44 said:This doesn't mean anything to me. I believe it should be written ATx = 0. ATx is the product of A transpose and some vector x.
My guess is they're asking whether the multiplication is defined. If x ##\in## R3, and A is as you have in post 1, then Ax is not defined, but ATx is defined.negation said:What significance is there if a question ask if it is consistent or inconsistent?
ATx = 0