(a) Show that T is a linear transformation from V to W. Hint: Show that T is a linear transformation from R³ to R³, T(u), T(v) e W, and use x = x1u + x2v € V to confirm the claim. (b) Confirm that C is a basis for W, and Find the coordinate vectors [T(u)]c, [T(v)]c.
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Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
Please help with 2a and b
![y + 2z
3y + 2z where V:=span(u, v),
2.x + y.
2. For u:=2], v:=
and w:=
let T : V → W, | y
W:=span(u, w). Set C := {u, w}.
(a) Show that T is a linear transformation from V to W.
Hint: Show that T is a linear transformation from R³ to R', T(u),T(v) E W, and use
x = xịu+x2V € V to confirm the claim.
(b) Confirm that C is a basis for W, and Find the coordinate vectors [T(u)]c, [T(v)]c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F647d1c74-04a7-437b-8d81-5635d9764604%2F86454cf2-1276-4267-80e7-1d105ebbb09a%2Fhkh0jys_processed.jpeg&w=3840&q=75)
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