Exercise 5.1.1 Consider the vectors -D-D-E-D 2 U3 = -3 -2 u₁ -2 (a) U2 = 1 -2 U4 2 Which of the following vectors are in span {u₁,...,u4}? For each vector that is in the span, exhibit a linear combination of u₁,...,u4 that equals this vector. 1 -[#]· •-E] «-[0] X = 2 (b) y = (c) Z= 5 -1 -4 -2

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A: To find the magnitude of the given vector v .

Q: linear Consider the following vectors in R³: V= (-1,7,2), u₁₁ = (1,3,5) U1₂ = (2₁-1₁3), (13=…

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Q: 3. Write the vector (1, 1, 1) as a linear combination of a vector in the direction of (2, –2, 1) and…

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A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Give the  3 characteristics of a vector

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Q: ) The vectors (3,0,0,0), (0,−1,2,1), (6,2,−6,0) and (3,−2,3,3) in ?4 are linearly independent.

A: solve the following

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Q: 5 Decide the dependence or independence of (a) the vectors (1, 3, 2) and (2, 1, 3) and (3,2,1) (b)…

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