5. Determine whether the set of vectors are linearly de- pendent or independent. Explain results why? Write clean, and clear. Show steps of calculations. 1. 3. -2 -2 and v4 VỊ V2 Va = -5 3 3

Q: Determine by inspection whether the vectors are linearly independent. Justify your answer. 12 8 - 9…

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A: Since you have asked questions with multiple subparts so we will solve first three questions for…

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Q: -10 X = a+ 10 2,0 -10 Write x as a linear combination of a and b. 2.0 b. 18 Hint: The preview shows…

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Q: B=(-83,57) 6-(27,-50) and D (30,51) 4. Points 0, A= (-79,-49), %3D calculate AB + B Ć t CD

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Q: à = (2, -1) and b = (1,3). Represent a + b by using the parallelogram method.

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Q: Determine by inspection whether the vectors are linearly independent. Justify your answer. 3 Select…

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Q: Determine by inspection whether the vectors are linearly independent. Give reasons for your answers.…

A: 12. Consider the given set of vectors.  The objective of the problem is to determine whether the…

Q: 10 -2 -2 -2 Denote the columns of A by a,, a2, a3, and let W = Span (a,, a2, az}. - 16 Let A = 0 2…

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Q: Problem 15 §5.6, Exercise 7. Show that the vectors vi = (2,3, 1) and v2 = (1, 1,3) are linearly…

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Q: Ex which line is the better fit for the data (1,1), (2,3), (2, 2), (3,4), (3,5), (4,3) 1=X 4/2=2x~2.

A: The given data set is: 1,1, 2,3, 2,2, 3,4, 3,5, 4,3 The better fit for the data, i.e., the equation…

Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: %3D 2a+3b+4c = ( 3. 2. =q C. 3. 4 Vectors

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Q: Determine by inspection whether the vectors are linearly independent. Justify your answer. 3 -2 0 3…

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Q: Write the vector as a linear combination.   PQ where P=(3,6) Q=(1,-3)

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Q: E Explain how the vector V= (0.6, 0.8, -2) can be thought of as having a "slope" of-2. %3D

A: Please check step 2 for the solution.

Q: Illustrate with an example and a diagram why a+b=6+a¯ for all vectors a and 6

A: Vector addition

Q: Find the sum of the given vectors. a = (-2,7), b = (6, -1) a + b = Illustrate geometrically. a a y y…

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Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =

A: This question can be solved by applying the formula of T,N,B