Let x, y, z be (non-zero) vectors and suppose w = 5x – 15y – 3z. If z = x – 3y, then w = 2 x+ -6 y. Using the calculation above, mark the statements below that must be true. O Span(w, z) = Span(x, y, z) Span(w, x) = Span(w, z)

Q: List five vectors in Span {V1, V2}. Do not make a sketch. 9 -7 HHO 4, V2 8 0

A: To list five vectors in the span of (v1​) and (v2​), we need to express them as linear combinations…

Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: What vector v is given by the coordinate vector B = { 9x +4, 4x + 6 }. [3] ? B

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Q: 2. Let vectors a = (3, 1, 2), b = (0, 2, 1), and c = (1, 1, -1) be given. Find (2a + 3b). c. • Find…

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Q: Below is a diagram of the dotted cube with edges of length 5. Suppose vectors u = (5, 0, 0), v =…

A: Given that  u = 5,0,0 ,  v = 0,5,0    and   w= 0,05         (1)  u + v + 2w =…

Q: For the vectors u = (2, 0, 1) and v= (3, 1, 0), evaluate the following expressions. c. |u +3v| a. 2u…

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Q: In R³ you are given the vectors a = (21,-9, -21,-4) b = (x, -35, -16, -23) Choose a such that b…

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Q: five vectors in Span v1, V2}. Do not make a sketch. 8 - -

A: In this question, the concept of the span of the vector is applied. Span The smallest linear…