What is the dimension of the sum of subspaces V and W in R^4, where V=span{(1,−1,0,1),(1,0,−1,1)} and W=span{(1,−2,1,1),(0,1,−1,0)}? (a) 0. (b) 1. (c) 2. (d) 3. (e) 4.

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A: (a), (b) , (c), (d)  are subspaces .

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Q: What is the dimension of the sum of subspaces V and W in R^4, if V=span{(1,−1,0,1),(1,0,−1,1)} and…

A: Answer is (e) 4Explanation:Step 1: Step 2: Step 3: Step 4:

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A: As per the guideline, I am supposed to solve only first question from the given problems.

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A: Solution of the problem as follows