Best book for self study: quotient subspace

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I'm currently studying linear algebra all over again, but when I reach quotient subspace I don't know what is happening. I'm stuck in that topic. Any recommendation for a nice explanation in a book or online material to get intuition and make more mathematical problems?

Note: I'm currently studying from Linear algebra by Friedberg and linear algebra by Hoffman.

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You could read about It on classical Books as Topica in Algebra of N. Herstein or Algebra of M. Artin for example.