(a) determine whether the set of vectors in Rn is orthogonal, (b) if the set is orthogonal, then determine whether it is also orthonormal,(c) determine whether the set is a basis for Rn.{(2, −4), (2, 1)}

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Q: (b) The general fact that fcu++eUn]e== c\]j + .. + ca[vn]s allows for rewriting the equation above…

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Q: (a) determine whether the set of vectors in Rn is orthogonal, (b) if the set is orthogonal, then…

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Q: Find a basis for the space spanned by these vectors:

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Q: Determine whether {v1, v2, V3} is a basis for a3. R V1 4, v 2 = V 3 = -4 8 -8 -24 Yes No

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Q: Your answer should be a list of row vectors separated by commas. (Click vector to learn about…

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Q: 2 Determine whether the vectors form a basis for R*. (You may use any relevant theorem that we have…

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Q: Show that the set S= {(-2,-4), (1, 2)} is the basis of R2 or not?

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Q: b) Find the value of k such that (-1,1,1), (1,1,1), (1, -1, k) form a basis of R²

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Q: Question 4: [2 Mark] Determine whether or not the given vectors in R" form a basis for R": a) v₁ =…

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Q: Show that B = {v1=(1,0,0), v2=(3,7,-2), v3=(0,4,1)} is a basis for R3

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Q: Find an orthonormal basis for the column space of 7 -11 1 -4 -1 0 2

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Q: = √1 = Let 4] 2 V2 - 2 and 3 = 2 -7 Explain that B = (V1, V2, V3) forms a basis of a 3-dimensional…

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