By inspection, determine if each of the sets is linearly dependent. (а) S%3D {(2, -1), (1, 3), (-4, 2)} linearly independent O linearly dependent (b) S = {(1, –6, 2), (2, –12, 4)} linearly independent O linearly dependent (c) S = {(0, 0), (1, 0)} O linearly independent

Q: b. Determine the value(s) of b such that the set S = is linearly independent in M

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A: A transformation is called linearly independent when the nullity of the transformation is 0.…

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A: Solution: The vectors will be linearly independent if the system has only the trivial solution.

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A: Linearly independent

Q: By inspection, determine if each of the sets is linearly dependent. (a) S= {(2, -3), (3, 1), (-4,…

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Q: By inspection, determine if each of the sets is linearly dependent. (а) S %3D {(1, 3), (3, 2), (-2,…

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Q: Find the values of for which :=,0) and": =(a.1) are 4a-4 linearly independent in *".

A: To find the values of a for which the below vectors are linearly independent in R2. v1=4a−4, av2=a,…

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A: x,y,z  are linearly independent if for linear combination ax+by+cz=0, have unique solution, that is…

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Q: Determine whether the set S is linearly independent or linearly dependent. S={(2, 1, 6), (3, 2, -1)}…

A: Given S=(2,1,6),(3,2,-1)  Need to determine whether the set S is linearly independent or linearly…

Q: By inspection, determine if each of the sets is linearly dependent. (a) S= {(3, –1), (1, 2), (-6,…

A: Linearly Dependent: A set of vectors v1,v2, v3, … vn is said to be linearly dependent only if it…

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A: The set is linearly independent if the elements cannot be written as a linear equation. Thus, if the…

Q: By inspection, determine if each of the sets is linearly dependent. (a) S = {(1, -3), (3, 2), (-2,…

A: We have to determine the given sets is linearly dependent or independent.

Q: By inspection, determine if each of the sets is linearly dependent. (a) s = {(2, -1), (1, 3), (-4,…

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Q: By inspection, determine if each of the sets is linearly dependent. (a) S = {(3, -2), (2, 1), (-6,…

A: When number of variable is less than number of vector , then it is linearly dependent. When one…

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A: I have proved T is the linearly dependent set

Q: By inspection, determine if each of the sets is linearly dependent. (a) S = {(1, -3), (3, 2), (-2,…

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Q: Which of the following sets is linearly independent? * O None of these the above set [3 4 3. .8

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Q: By inspection, determine why each of the sets is linearly dependent.(a) S = {(1, −2), (2, 3), (−2,…

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Q: Determine whether the set S is linearly independent or linearly dependent. S = {(-5, –3, 6), (2, –1,…

A: Given- -5,-3,-6,2,-1,1,6,0,0 To Determine- Whether the set S is linearily dependent or independent.

Q: Which of the following sets is linearly independent? * O M={(1,3,4),(1,2,5),(-1,0,-2)} O M={(1,1…

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Q: By inspection, determine if each of the sets is linearly dependent. (a) S = {(3, -2), (2, 1), (-6,…

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Q: Which of the following sets is linearly independent? -ex-y-5=x+C OM= {(1,3),(3,9),(-1,-3)) M=…

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Q: By inspection, determine if each of the sets is linearly dependent. (a) S = {(3, -2), (2, 1), (-6,…

A: We can check In the given set S , If one of the vector is dependent on another vector or not .

Q: Which of the following sets is linearly independent? *

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Q: Determine whether the set S is linearly independent or linearly dependent. S = {(-6, -1, 6), (3, -1,…

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A: A subset f1, f2, f3, ... , fn of a vector space ℙm is said to be linearly independent if…

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A: Proceed as shown below..

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A: Let M = { (1, 1, 0), (0, 1, 0), (1, 0, 1) } Let a, b, c are three scalar such that           a(1, 1,…

Q: By inspection, determine if each of the sets is linearly dependent. (a) s = {(2, -3), (3, 1), (-4,…

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Q: Find the value of x so that the following are linearly dependent in R³. (1, –1,0), (-1, x, 0), (0,2,…

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Q: a 6) Determine the value(s) of a such that is linearly independent.

A: Given the set 1a,aa+2 is linearly independent.

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A: Which of the following sets is linearly independent? None of these M=((1, 1, 3), (3,2,0), (4,5,6))…

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A: Since it is a multiple question. As per our company guidelines we have to solve the first question.…

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A: M=1,2,2,4,-1,2   As 2,4=21,2+0-1,2 which means 2,4 can be written as linear combination of 1,2, -1,2…

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Q: Determine whether the set S is linearly independent or linearly dependent. S- {(-4, -3, 5), (2, -2,…

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