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Let W, and W2 be subspaces of a vector space V. Prove that W
Chapter 1, Problem 19(choose chapter or problem)
QUESTION:
Let W, and W2 be subspaces of a vector space V. Prove that W| U W2 is a subspace of V if and only if W, C W2 or W2 C W,.
Questions & Answers
QUESTION:
Let W, and W2 be subspaces of a vector space V. Prove that W| U W2 is a subspace of V if and only if W, C W2 or W2 C W,.
ANSWER:Step 1 of 3
From the given it implies that or , then:
Thus, and are subspaces of ,
Then, is also a subspace of .