s, where squa ogonal projec onto the subspace spanied by

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A: Use the necessary and sufficient condition for a subspace of a vector space

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Q: 4. Check the following set --}- X2 W = E R"|x1 – x2 + ... + xm = 1 over the field of reals is a…

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Q: can a subspace of R^n have a dimension less than n.

A: Yes , it can be .

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A: Consider W=x1x2⋮xm∈ℝm | x1+x2+…+xm=0. Let x=x1x2⋮xm∈W   and   y=y1y2⋮ym ∈W. This implies that,…

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Q: ( › Given 7 = 178/33 -292553/44682 321593/44682 25405/14894 4 -5 53 ال لیا , 5 2 3 -B-0 and -6 7 -36…

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Q: Q3 shew that W2 = subspace of R2 is a

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A: Solution:Given: we have to check that is a subspace of or not.

Q: Suppose V is finite-dimensional and U and W are subspaces of V with W^0 ⊂ U^0. Prove that U ⊂ W.

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Q: show what W = {(a,0,b)| a,b E R)  is a subspace of R^3

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Q: Show that a subspace of a Hausdorff space is Hausdorff.

A: Prove that, a subspace of a Hausdorff space is Hausdorff.

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Q: 4.33 Does every subspace have a complement?

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Q: In linear algebra, a subspace of R^n can have a dimension less than n.  (True or False)

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