I'm new to linear algebra, trying to understand linear regression, I've encountered an equation
[MATH]C(A)^⟂=N(A^T)[/MATH]
Where A is some matrix, C is its column space, N is a null space.
If I'm not mistaken and the equation is correct, why space orthogonal to column space of A is a null space of A TRANSPOSE? Why to row space of A?
Thanks a lot!!
[MATH]C(A)^⟂=N(A^T)[/MATH]
Where A is some matrix, C is its column space, N is a null space.
If I'm not mistaken and the equation is correct, why space orthogonal to column space of A is a null space of A TRANSPOSE? Why to row space of A?
Thanks a lot!!