Find the coordinate vector [x]B of the vector x relative to the given basis B. b1 = 4, b 2 = |-3 -s|, and B= {b1, b2} X = -20 37 60 54 -8 160

Q: If vector A = [4,1] and vector B = [-3,2] and A-B = [-1,-1]  Sketch the computation above and…

A: Given; vector A = [4,1] and vector B = [-3,2]

Q: Write the vector (2, –3) as a linear combination of (2, –1), (–1,2) Select one: O 2/5(2, –1) +…

A: We need to find the linear combination of the given vector. NOTE - all the options given are wrong.…

Q: Find a representation of the vector AB= (11, -15) in R2 by giving appropriate values for the points…

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Q: Find the vector X (in standard coordinates) determined by the given coordinate vector [X] and the…

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Q: y 3 2 1 O -1 -2 -3

A: Given query is to find the x component of the vector.

Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. - 1 2 - 4 B=…

A: The vector x is the linear combination of the vector in basis B.

Q: a = (3, 2, 4), b = (-3, 3, 0), c = (0, 0, -2) %3D (a) Find a x (b x c). a x (b x c) = || %3D (b)…

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Q: v = (9,5,6) w = (-8,4,-7) = J

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Q: Calculate div(F) and curl(F). F = (yz, 6xz, 7xy) (Give an exact answer. Use symbolic notation and…

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Q: a. Write the vector (8,5, 30) as a linear combination of a₁ = (4, -4,1), d₂ =(4,-5, 5) and d3 = (0,…

A: (a) Let,   <8, 5, 30> = a<4, -4, 1> + b <4, -5, 5>+ c<0, -4, -4>     =>…

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.