[2], 0 V1 Is w a linear combination of the vectors V1, V2 and 3? Let w= 13 || 8 V₂ v₁+ -3 w is not a linear combination of V1, V2 and 3 w is a linear combination of ₁, 2 and 3 and 73 = If possible, write was a linear combination of the vectors V1, V2 and 3. If w is not a linear combination of the vectors ₁, 2 and 3, type "DNE" in the boxes. √₂+ -5 -5 V3

Q: Let W be the set of all vectors Select an Answer ✓ 1. -2 -8 V= -2 2 Select an Answer ✓ 2. -3 -8 V=…

A: Given that Now, recall  the definition  of orthogonal  complement.    Now, for option(1):   This…

Q: skip the first 3 thank you

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Q: Let u4 be a linear combination of {u₁, U₂, U3}. Select the best statement. OA. {U₁, U₂, U3, U4}…

A: Given that, be a linear combination of .The aim is to find the correct statement about the given…

Q: Show that V1, V2, V3 are linearly independent, but V₁, V2, V3, V4 are not. Then express V4 as a…

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Q: Consider the following vectors: 2 4 3 8 -3 c²= -8 -3 3 7 For each of the following vectors,…

A: Given that              a→=23-33, b→=48-85, c→=2-367

Q: Consider the following vectors: 3 9 u= = [³₁] · V = [₁0] · W = [-₁0], x= []. V= W= -5 10 X ·

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Q: X B y x + y Determine whether each of the following vectors is in W+. Let W be the set of all…

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Q: Which of the following vectors is a particular solution to the equation? -4 -3 -9 -2 51 v2 -6 -6 -6…

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Q: What value of a will make the vectors (-2, x, 1) and (2, –1, 1) orthogonal? Select one: O a. 3 O b.…

A: For orthogonal, dot product of two vectors are zero.

Q: a = 3 For each of the following vectors, determine whether it can be written as a linear combination…

A: In this question, we will determine whether it can be written as a linear combination of these…

Q: Which of the following sets of vectors are linearly independent? A. (4, 8,-5), (-9, -4, -6), (-13,…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

A: Solution:-

Q: onsider the following vectors: 2 -4 4 b=-6 c = 8 2 =3 or each of the following vectors, determine…

A: (.) Given vectors are,  (.) Linear combination: A vector  can be written as a linear combination of…

Q: Let A = -1 -3 3 and b = b₁ 8} Show that the equation Ax=b does not have a solution for some choices…

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Q: 3 -9 a = 2 b=-6 2 -6 For each of the following vectors, determine whether it can be written as a…

A: In this question, we will write the vector as a linear combination of the given vectors.

Q: -2 -B-8 Let u₁= -2 and ₂ = -20 -4 If W = Span {₁, 2}, determine whether each of the following…

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Q: Suppose a vector w R³ can be written as w = 5v₁ - 3v2 + 7v3, where V₁, V2, V3 are vectors in R³.…

A: Explanation of the answer is as follows

Q: Let a₁ = -4 a2 3 Write b as a linear combination of a₁, a2, and a3, if possible. b= -6 -2 3 " - a3 =…

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Q: Consider the following vectors: 1 a = -3 b = -9 c = 9 -3 -9 8 For each of the following vectors,…

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Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

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Q: "Given that 3 -4 = 5 -3+ 2 5 ܐ write 3 as a linear combination of the vectors -2 + 5 -3 -2 5 -4 1 2…

A: Here , a vector is given and now we have to represent it as a linear combination of three vectors .

Q: Consider the following vectors: 3 9. 1 a= 4 c'= 9. -10 –10 For each of the following vectors,…

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Q: 3 3. Let V = 5. Find vectors b₁, 62, 63 such that is a linear combination of b₁, b₂, b3. Additional…

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