Any two bases contain the same number of vectors. Let dim V = n. If you have n linearly independent vectors in V, prove that these span V.

Q: Let u, v, and w be n-dimensional column vectors. Define x = u vwT. Since the multiplication is…

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Q: Suppose V1, V2, V3, V4, V5 are distinct, nonzero vectors in R³ = and suppose that span(V1, V2, V3,…

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Q: Let å = (- 5, 5, – 3) and b = (4, – 1, 0). Find a unit vector which is orthogonal to å and b and has…

A: Given query is to find the unit vector orthogonal to a and b

Q: Find non-zero vectors I and 7 that are both orthogonal to and orthogonal to each other.

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Q: If possible express the vector v as a linear combination of V1, V2, and V3.

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Q: Show that if u and v are linearly independent vectors, then so are  u + v and u -v.

A: Given :           u and v are linearly independent vectors.   To prove :               u + v and…