I have a question about problem 8 section 5.5 of Strang's book.

(a) With A = [{1, i, 0}, {i, 0, 1}], use elimination to solve Ax = 0

(b) Show that the nullspace you just computed is orthogonal to C(A^H) and not to the usual row space C(A^T). The four fundamental spaces in the complex case are N(A) and C(A) as before, and then N(AH) and C(A^H)

I am definitely getting that the nullspace is still orthogonal to the row space and I don't see how this could not be true

thanks for the help!

Question

I have a question about problem 8 section 5.5 of Strang's book. 

(a) With A = [{1, i, 0}, {i, 0, 1}], use elimination to solve Ax = 0

(b) Show that the nullspace you just computed is orthogonal to C(A^H) and not to the usual row space C(A^T). The four fundamental spaces in the complex case are N(A) and C(A) as before, and then N(AH) and C(A^H)

I am definitely getting that the nullspace is still orthogonal to the row space and I don't see how this could not be true

thanks for the help!

anonymous · Answer

wait, nevermind... I'm stupid. got it

anonymous · Answer

If you got it, it means your are not stupid!