-2 Problem 3. Let vi = U3 Determine if v1, V2, V3 are 8 linearly independent.

Q: 9

A: We need to determine all the values of the constant a for which the vectors

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A: Given below the detailed solution

Q: 2.2. Find all solutions of the vector equation XịVi +X2V2 + X3V3 = 0, (1,0,1)7. What conclusion can…

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Q: Qn 1. Consider the following six points in R²: Aj — (1,0), Аз— (3,0), Аз- (2, V3), В, — (0,3), В, —…

A: Given the following six points in ℝ2. A1=(1,0), A2=(3,0) , A3=(2,3) , B1=(0,3) , B2=(3,2), B3=(0,1)…

Q: b = Find whether {a, b} linearly independent or not. 5. Let a are

A: Given a = 20 , b = 07

Q: 0-0-0 2. 11 S = { %3D linearly dependent or linearly independent?

A: A set of vectors {v1, v2......vn} is said to be linearly independent if there exist scalars, such…

Q: 35. The equations 2x – 3y + 4z = 1, 3x – y = 2, x + 2y – 4z = 1 A are linearly independent B are…

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Q: 8. Find all values of h, if any exist, such that b a linear combination of vị an h (а) Vi V2 = b =…

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Q: Which of the following is a linear combination of the vectors v₁ = (a) (²) (b) (-₂²) (c) (4) (-¹)…

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Q: Express the following as a linear combination of u= (3, 1, 7), v = (1, -1, 7) and w = (6, 3, 6).…

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Q: Find all the solutions in vector form of the following linear system using Gaussian elimination z1-…

A: given equation…

Q: the equation A = b is inconsistent, where A = [ā, āz], then the set {ā1, ā2, b} is early…

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Q: 13. 2 [3] and u = [4] vectors, one in Span {u} and one orthogonal to u. Let y = . Write y as the sum…

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Q: kindly solve it

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Q: 5. For which value of x do the following vectors form a linearly dependent set in R -1 y =|x, in- х,

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Q: 2. Find the equation f(x) = ax + b of the least square line for the points (1,0), (-1,2), (2, 1).

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Q: Goods A and goods B are produced and sold by the company according to the following equation: P₁ =…

A: The Profit function is…

Q: Suppose a, = (1 -1 1 1) 5. a, = (1 0 1 0)" a, = (1 1 1 1)'a, = (3 2 3 0)" · Please find out whether…

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Q: 6. Consider the following system of four linear equations in five variables. 2x1 + 4x2 – 2x3 + 2x4 +…

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Q: w+y+2z w+2x-y -3 2w+x+3y-2z ] = [X²] 6 x-2y -2 0

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Q: ly 1) Find the least squares line 2) Find the coefficient of correlation 3/08

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Q: Decide with justification if the following sets of vectors are linearly independent. (i) {2 } 3 2…

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Q: -2 is a linear combination of the vectors 4. For which value of k the vector u = 3 2 3 and v2 of the…

A: Given the given vectors are u=1-2kv1=30-2v2=2-1-5

Q: Q-1- Answer each of the following as True or False a) If 4-2 +2 - b) If v₁ = (1,2), v₂ = (3,4), V3 =…

A: We need to tell if the given statements are true or false. This can be done as follows:

Q: Let m. - 6 ) m- - (C ) m - (G 9)-m- - (; ). (G :). m2 = m3 = etermine if (m1, m2, m3, m4) is…

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Q: Find two linearly independent solutions of y" + 3zy = 0 of the form y₁=1+az³+asz +...…

A: The given equation  is  Let    be  a  power series  solution of (1).Now,   and  Putting  this…