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Title: Notes on Quotient Spaces and Cosets
Description: These notes break down how translating and overlapping subspaces helps us understand quotient spaces like V/U, and how linear maps behave when we factor out the null space. They also show how to represent linear transformations with matrices and explain why the quotient space V/ker(T) ends up looking just like the image of T.
Description: These notes break down how translating and overlapping subspaces helps us understand quotient spaces like V/U, and how linear maps behave when we factor out the null space. They also show how to represent linear transformations with matrices and explain why the quotient space V/ker(T) ends up looking just like the image of T.
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Title: Notes on Quotient Spaces and Cosets
Description: These notes break down how translating and overlapping subspaces helps us understand quotient spaces like V/U, and how linear maps behave when we factor out the null space. They also show how to represent linear transformations with matrices and explain why the quotient space V/ker(T) ends up looking just like the image of T.
Description: These notes break down how translating and overlapping subspaces helps us understand quotient spaces like V/U, and how linear maps behave when we factor out the null space. They also show how to represent linear transformations with matrices and explain why the quotient space V/ker(T) ends up looking just like the image of T.