Good day to all.
I have just read the section in my textbook on rank, kernel and linear dependence/independence. I thought I understood the chapter but as I was doing the end of section exercises, I realized that there is something I have missed. The question that has left me wondering is as follows:
Find a matrix whose kernel is spanned by the vectors u = (1,3,2) and v = (-2,0,4)
Does this mean that some linear combination of u and v say w = au + bv (a, b are real numbers) will produce Aw = 0 ??
I am not sure it is relevant, but the topics of image and basis have not yet been covered.
Any help would be greatly appreciated!