Which of the following transformations are linear? А. Т В. Т 8 x + 2 С. Т y, D. T z. 7y Е. Т -4z -9x -3x F. T 10x 4а,

Q: What are the coordinates of P(23t/2)? А. (-1, 0) В. (1, 0) С. (0,1) D.(0,-1)

A: Solution

Q: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

Q: If vector A = [4/1] and vector B = [-3/2] find A-B

A: Here two vectors A and B are given we have to find A-B.

Q: A pre-image of a figure contains the point (10, 3). Distinguish the location of this point in the…

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Q: Given the rule (x,y) --> (x-4, y+8), describe what transformation occurs to any given point

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Q: as a linear combination of x = 7 4 and y = -3 Express the vector u -2

A: NOTE: Refresh your page if you can't see any equations. . write both vectors x and y in the matrix…

Q: Express the following as a linear combination of u = (6, 1, 7), v = (1, -1, 4) and w = (1, 8, 7).…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

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Q: Find f, and f, and evaluate each at the given point. ху f(x, y) = (5, -5) x - y f,(x, y) = f,(x, y)…

A: Given; f(x,y) =xy/(x-y); (5,-5)

Q: Find (5x + 3y)dA where R is the parallelogram with vertices (0,0), (-1,4), (-4,-5), and (-5,-1). R…

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Q: The coordinates of the missing point are A. (4, 4) В. (5, 4) (-1,4) (?, ?) С. (6, 4) D. (7, 4) x+ 3…

A: topic- sketch of a figure distance between x=3 and (-1,4) is 3-(-1)=3+1=4 x-coordinates of missing…

Q: Determine whether u= (-1, 11) is a linear combination of x =(1,3) and y=(2,-1).

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Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

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Q: Q2. ()- Work out a - 2b as a column vector.

A: Given

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

A:

Q: Find u · v, u · u,II u^2 II, (u · v)v, and u · (2v).

A: Find ————- u · v, u · u, II u^2 II, (u · v)v, and u · (2v). u = 7i + j − 4k,   v = i − 9j + 8k

Q: Quadrilateral RSTU is graphed on the coordinate grid below. 6 7. R(3, 6) 4 3 U(1, 2) S(5, 2) 2. 214

A: The given quadrilateral is: