"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 1 -1 2 2 ܘܘ ܕ 3 [1 0 0 0 1 0 0 . 1 -1 5 1 000 -3 2 5 2 - a ܣ 11

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: define (2a - b + 4c, 3a-c, 4b + c) as a linear combination of three nonzero vectors

A: We have to define  (2a - b + 4c, 3a - c, 4b + c) as a linear combination of three nonzero vectors

Q: 20 Is it possible to factor the following expression ? If so, factor it 19x'°(y + 4) + 7(y - 4) Yes:…

A: We have to factor this

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: how that vectors[ A-2i+ 3j - 2k,B=I +2j+ 4k ] are perpendicular to each o

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Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: Add the vectors E = , F=, G .

A:

Q: 123 Write the vector 2 as a linear combination of the vectors 3 4 (6676) 5 4 2

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Q: 7. Show that the vectors A=4a, -2a + 2a, and B = -6ā, +3ā, -3ā. e parallel to each are other.

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Q: Determine if the vectors , and are linearly independent.

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Q: The graph below shows vectors u, v and w. 5- -5 -4 -3 ν 4 3 2 -2 2 3 -1 W -2 -3 -4 -5 Clear All…

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Q: Are the vectors -6 -9x+9x², 3x12 + 6x² and 10+ x - 7² linearly independent? choose If the vectors…

A: Given that the vectors-6-9x+9x2   ,    3x-12+6x2  ,  10+x-7x2

Q: Describe all solutions of Ax = 0 in a vector form, where -4 -2 0 3 2 0 0 0 1 1 A = -1 -4

A: Here given matrix is

Q: That is not correct. The first Vector answer is [-2/3, -1/3, -2/3] (column wise format.)

A:

Q: to loss of precision. . Show by counterexample that it is not always true that for 3D vectors a, b,…

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Q: Solve for all vectors X so that × X = .

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Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

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

A: We will write  as a linear combination of the vectors

Q: If vector u=2:1+2:/ and vector V =5./+4/, simplify each of the following, writing your final answer…

A: Given:    u = 2i + 2j    v = 5i + 4j

Q: 3. Choose three vectors: and Use these vectors to verify the associative property.

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Q: Determine whether the following three vectors lie on the same line in R?: и, 3 (4,6,8), и, %3 (2,3,…

A: The given vectors lie on the same line. u2=2,3,4u1=4,6,8=2×2,2×3,2×4=2×2,3,4=2u2So, u1=2u2Thus,…

Q: 6. Write as a linear combination of the vectors

A: solving by linear combination of the given three vectors by converting into syatem of equation...

Q: Express the vector -9-7x- 15x² as a linear combination of p₁ = 2 + x + 4x², P₂ = 1- x + 3x² and p3 3…

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Q: What is (A - B) and |A - B| * A = i + 2j – k, B = -2i + 3j + k |

A: