Books that explain linear algebra better than Boas chapter 3

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I find that Chapter 3(Linear Algebra) in Boas is not very clear in certain areas. Could someone please recommend a book which does so more clearly?
 
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'A Survey of Modern Algebra' by Garrett Birkhoff and Saunders Mac Lane has a really good treatment of linear algebra. Anything particular that you didn't find clear in Boas' treatment, or the whole topic of linear algebra?
 
She uses vectors to find distances between planes and such. Example given a plane 3x + 4y + 5z she immediately says the vector perpendicular to this plane is such and such. I don't know how she gets that.

Distance between lines, planes, parametric equations et. al. are not too clear.

Matrices could have been done with a little more depth. The different types of matrices are over in a flash.