Which of the following sets is linearly independent? * M={ (1,0,1),(3,0,3),(0,0, 0) } O M={ (1,1,3),(3,2,0),(4,5,6 ) } O None of these O M={ (1 ,2 ),(2 ,4 ), (-1,-2)}

Q: Determine whether the set in P_2 is linearly independent.    S={x^2 , +1, 2 - 1, 2}

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Q: 1 - 3 2 Let v, = - 3 -2 Determine if the set {v4 is linearly independent. 7 -2 - 4

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Q: { O True O False The set 5 1 4 -4 1 -3 5 is linearly independent.

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Q: If v = (2, 2, 0) and w = (-1,4, 0) , what is v × w ? (10, 0, 0) о (), 0, 6) (0, 0, 10) о (10,0, 6) О…

A: Apply formula for vector cross product

Q: 1) Is {(1, 0,3), (1, 4, -2), (-8, 12, -4), (1, 37, 17)} a linearly independent list?

A: We check given set of vectors is linearly independent or not.

Q: 9. Determine the value(s) of k such that (2k, 3, k + 1) x (k-1, k, 1) = (1, -2,2).

A: (2k, 3,k+1)*(k-1, k, 1)=(1,-2,2)Find the value of k.

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

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Q: 9) If the vector w = (1,-4, 9, 18) can be (1,-1,3, 5) and v₂ = (2, 1, 0, -3) th are: 0000 O a=3,…

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Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

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Q: Q4) Given A = 1 -2 1 find the Kernel and 0 2 1 range of A.

A: Introduction: Kernel and range are two important terms related to matrix and linear transformation.…

Q: Suppose f : B C where B = {a, b, c}, C = {2, 8, 10}, and f is defined by f = {(a, 8), (b, 10), (c,…

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Q: Let u = (3, 1, 2), 1 = (1,0,1), v2 (2, 1, 3), v3 = (4, 2, 6). Find C₁, C2, C3 such that = u = C1v₁ +…

A: In this question, we want to find the values of the cofficients of the given linear combination of…

Q: Consider following five sets: 1. { , } { } II. { } II. IV. { , , } V. { , } Find all linearly…

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Q: 0-2.5) R= (9, 4) P= (3, 2) Q= (7, 2) S-(10, 2) N= (0. 0) -1 10 11 -1 T= (-1, -2) L=(4, 2) U= (0, -2)…

A: Shape of triangles KLM, NOP are same and triangles TUV, QRS are same. But to prove congruent nature…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.