For each of the following subsets of R², either show s not a subspace of 24 20150 Pa 201504at it is a 2015047112 =((0.15047015047112015047112015047 201504711 2015047 201504711 20150473 2015047 201504711- 201504711 2015047 4711 201504711 201504711 2015047 4711 201504711, 2015047 4711 2015047 7047 subspace of R2, or explain why (1) 504 2015 1504 201504711 201504711 2015049 no 201504711 201504711 (ii) 11201504/201504711 20150 (iii) 04711 201507711201504711 2015 007112015047112015047116 DA7¹1, 15047111(x,x)472-201504711201504711, [DA7110504711-

Q: 3. Determine whether the given set is a subspace of M2x2 with real entries. {6 ) la = b}.

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Q: Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

A: a. We have to find the dimension of the subspace H. b. We have to check whether {4 - (9x2 + 3x), 7 -…

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Q: Suppose that a set of vectors S₁ = {V₁, V2, V3} is a spanning set of a subspace V in R³. Is it…

A: Yes It is possible.

Q: 3. The plane in ' with equation 4x=34 %3D

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A: Subspace must contains zero vector with respect to addition. Affine subspace is not consider here.…

Q: а. W- : x is a scalar |2x + y b. W = : x, y are scalars x + y c. W = +1 : x is a scalar

A: we have to check subspace.

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Q: Given 1 -8 -1 6 subspace W spanned by " find the closest point to in the 1 -4 - 2 1 and 2 –7 2 -26

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Q: Let P₂ be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: 2. Determine if the following are subspaces of M nn The set of all diagonal >> matrices.

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A: Let W be the set of all 3×3 matrices whose trace is zero. Show that W is a subspace of M33.

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A: