The figure below shows two named points A and B in R?. 4 3 2 -6 -6 -5 -4 -3 -2 -1 2 3 4 5 6 • Part 1 - Part 2 a. Write the vector BA as a sum of two vectors, one parallel to (1,0) and the other parallel to (0,-2). BA = + b. Write the vector BA as a sum of two vectors, one parallel to (1, 1) and the other parallel to (-1, 1). BA = +

Q: Uj = U2 = 3 U3 = 3 -2 re the vectors 1, U2 and 03 linearly independent? choose the vectors are…

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Q: Let A = [a₁ a2 a3 a4], and suppose that x = (4, -7, 9, 1) is in null(A). Write a4 as a linear…

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Q: For the pair of vectors, find U + V, U-V, and 4U + 2V. U = 4i + 5j, V = 5i + 4j U + V = U-V= 4U+2V =

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Q: Express the indicated vector was a linear combination of the given vectors V₁ and V2 if this is…

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Q: Consider the two vectors A = 5 1 - 3 1 and B = -1-2j. (a) Calculate A + B 51 1+5 (b) Calculate A - B…

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Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

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Q: Which of the following vectors is a particular solution to the equation? -4 -3 -9 -2 51 v2 -6 -6 -6…

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Q: The vectors A 6i + 4j – 8k and B = xi + 6j + zk are known to be parallel. Find x and z x = 9. -12

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Q: Consider the statement The set of vectors 5 -3 -4 -6 -5 0 -5 -4 2 6 5 11-6 10 -10 26 -5 is linearly…

A: The given statement, The set of vectors -5-4-3-4-1, -4-6-50-5, -3-42-6-1, 0151-6, 1110-1026-5 is…

Q: Given an initial point A(4,7,4) and terminal point B(-7,8,-2). Find the component form of the vector…

A: Given an initial point A(4, 7, 4) and the terminal point B(-7, 8, -2).

Q: On the grid below, draw the following vectors: a = −2i+3j b = -4i+2j c=5j

A: Given

Q: Let a₁ = , a₂ = [2] and b = -7° -13 -8 s b a linear combination of a₁ and a₂? OA. b is not a linear…

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Q: Determine if the three vectors lie in the same plane: a = (-2, 1, 3) and b = (3,-2,4), and =(-19,…

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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.