Given that 9 write -18 as a linear combination of the vectors 9 -18 = -11 H 0 -2 −1 -000 + −1 2 1 9 -18 −11 []+ 1 1 0 0 -4 0 1 0 -5 0 0 1 2 0 [] -2

Q: One of the following vectors lies in span{ 2+x + x?, 3+x- 2x2} (A) 4+ x – 7r² (B) 4+ x – 4x? (C) 4 +…

A: Solve the following

Q: = Let -3 -1 -~--~--~--~--~- , V3 -5 1 , V₂ 2 0 combination of V₁, V2 and V3. 5 -26 , V4 -9 -1 -3…

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Q: 1 4 7 Determine whether the set of vectors 2 3 6 9 is linearly dependent or not. If so, find a way…

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Q: Civen that 1 00 7 -4 -3 3 2 19 -1 1 4 0 1 0 4 3 -1 4 3 0 0 1 4 3 write 4 as a linear combination of…

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Q: skip the first 3 thank you

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Q: Describe all least-squares solutions of the equation Ax = b. A = 01 b= 2 3 10 The least-squares…

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Q: -14 Given that write 3 -5 -3 -14 ] -5 = 2 -2 -3 1 0 0 −1 −1 as a linear combination of the vectors 1…

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Q: 3 = [ ¹₂ ], b = [ ³ ], c = [ ¹₁ ], d = [¯^¹'], and v = [¯2²], 5. Given vectors a = (a) Find all real…

A: We are given the vectors and we have to solve given problem.

Q: Graph three different non-zero vectors that sum (add up) to the zero vector.

A: We need to find 3 non zero vectors that sum to a zero vector.

Q: Find a general set of solution vectors of х=-5 ха x₁ = x₁ + 3 x ₂ 2 2

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Q: Solve step by step in digital format please Do the x³2x²+1, 4x² − x+3,3x-2y-2x³+4x² - 2 polynomials…

A: This is the question from the vector space.

Q: Given that write 4 A -4 -5 -2 -57 2 - 3 5 3 61 -3 as a linear combination of the vectors 16 6 5 + [1…

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Q: Find a vector orthogonal to both = 10 2 and w = 2

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Q: Let v1 = (-6, -6, -9), i2 = (3, 3, 12), iz =(-1,-1,6). Are the vectors v1, 02 and vz linearly…

A: See the attachment

Q: 6. Prove that A ·B+ |A x B|< 2|A||B|| for arbitrary vectors A, B and C.

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

A: Solution:-

Q: 98. Determine whether the vectors AB and PQ are B(-2, 2, 0), where A(1, 4, 1), equivalent, P(2, 5,…

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Q: Are the vectors 16 + 16x – 12x2, linearly independent + - 12 – 12x – 12x2 and 18 + 18x – 3x2…

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Q: Given that 7 write 3 5 7 3 5 -2 2 3 7 -1 2 2 3 3 125 100 010 -5 001 3 as a linear combination of the…

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Q: Let u = 6 - 1 and v= 6 Show that a a -[:] k Let b = k How can it be shown that a vector b is in Span…

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Q: Given the following vectors A = -4a +3a-2a₂ X y B=a_+5a +7a_ X y z C=-2a-4a +6а X y Evaluate |AX…

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Q: (a) Write 4 as a linear combination of the vectors (b) Given that [1 0 0 4 -2 -3 -71 -1 -7 - |0 10…

A: Explanation of the solution is given below....

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: ste each vector as a linear combination of the vectors in S. (Use 51 and 52, respectively, for the…

A: Note : " As per guidelines we will solve first three subparts. If you want any specific subpart to…

Q: 7. Let +-() वे = -2 and -4 2 3 Find a real number x and a vector such that = -x and 17.

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Q: Given that write -4 -2 -5 2 -3 -3 -2 5 3 2 [] -3 as a linear combination of the vectors [100 01 0 0…

A: Given that .We have to write  as a linear combination of the vectors .

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: h 2 S4 2- h 45 LT 2 0 O

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Q: How do you know if three vectors are on the same line? (when they are on the same line we call them…

A: Let the three vectors be V1, V2 and V3.   V1, V2 and V3 will be on the same line or co-linear if…

Q: Let A = 10-2 04-6 and b= 0 22 Denote the columns of A by a₁. a2 a3. and let W = Span (a₁. ₂. 3) -48…

A: Part (c) asked and answered.

Q: -15 -20 as a linear combination of the vectors 11 Q write -15 A 11 -20 = 1 1 -0·8·6 1 4. + + -2 A -2…

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Q: Let 52D If possible, express w as a linear combination of the vectors 71, 02 and 3. Otherwise, enter…

A: We have to write w as a linear combination of v1 , v2 and v3.

Q: Compute the quadratic form x Ax for A= Xx₁ 12 - a. x = b. x= 1 X2 a. x¹Ax= 3 2 [1] 10 C. X = and…

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