I know this as "an element of the standard basis," B = {e_1, e_2, ...), where e_1 = (1,0,0,...), e_2 = (0,1,0,0,...). You could view it as inauspicious that the treatment doesn't begin with abstract vector spaces, but there is always Axler.
For what it's worth, I find it inauspicious that after taking three (pure-math oriented) Linear Algebra courses I never saw least squares nor the SVD. I'm looking forward to taking a look at Prof Boyd's book.
Point being, their definition is just plain wrong. If that's how the authors describe a unit vector, I don't think this is the book you want to use to learn about SVD.
Well, the way I see it, when you teach applied science you often want to sacrifice some rigor so that your students could focus on what was intended to be learned in the first place.
I know this as "an element of the standard basis," B = {e_1, e_2, ...), where e_1 = (1,0,0,...), e_2 = (0,1,0,0,...). You could view it as inauspicious that the treatment doesn't begin with abstract vector spaces, but there is always Axler.
For what it's worth, I find it inauspicious that after taking three (pure-math oriented) Linear Algebra courses I never saw least squares nor the SVD. I'm looking forward to taking a look at Prof Boyd's book.