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Let Wi and W2 be subspaces of a finite-dimensional vector space V. Determine necessary

Chapter 1, Problem 22

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QUESTION:

Let Wi and W2 be subspaces of a finite-dimensional vector space V. Determine necessary and sufficient conditions on Wi and W2 so that dim(WinW2 ) = dim(W1).

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QUESTION:

Let Wi and W2 be subspaces of a finite-dimensional vector space V. Determine necessary and sufficient conditions on Wi and W2 so that dim(WinW2 ) = dim(W1).

ANSWER:

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Vector Space: Any given set of vectors can be considered as the Vector space which allowed the number of mathematical operation to be performed in it like addition or multiplication.

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