Consider the basis S = [v;. V2. V3} for Rº, where v = (1, 1, 1), v2 = (1, 1, 0), and v3 = (1,0,0), and let T:R3 - R° be the linear operator for which T(v,) = (3, – 1, 6), T(v2) = (4, 0, 1), T(v3) = (- 1, 7, 1) Find a formula for T(x1. X2. X3), and use that formula to find T(3, 6, – 1). T(3, 6, – 1) = (

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Q: c. Find the coordinate vector of the polynomial q(t)=3t² − 6t+2, relative to the basis for P₂ in…

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Q: IP IE Express the vector + =[] y as a linear combination of = [2] -[1] and y=

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Q: 1. Find the vector component of the vector ū (-3, 6, 2). [28, 63, 0] in the direction of = %3D

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A: T: R2 - >  R2 is a inear map which is basically reflection in the x Axis. Therefore for any point…

Q: Write the vector w = (1, 1, 1) as a linear combination of vectors in the set S. V2 V3 S = {(1, 2,…

A: See the attachment.

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A: Given Let Plugging the values in the equation:

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Q: Show that v, = (1,0,–1) , v, = (1,0,1) , v3 = (1,1,1) span R’. %3D Express vector v= (4,2, 2) as…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Q2) Find the coordinate vector [x]B of x relative to the basis B={b1, b2}:

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Q: #7. Given that the three 3-dimensional vectors v1 = (- 1,3, - 4), v2 = (3, – 8, 10), v3 = (2, – 9,7)…

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Q: Find the coordinate vector of w relative to the basis S = { u1, u2} for R u 1 = (4, – 4), u 2 = (4,…

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