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greyhyena256Lv1
6 Nov 2019
Let P2 = { ( a0 + a1x + a2x^2 ) a0, a1, a2 ? ?}. Recall that P2 isa vector space. Let S= ( 1, x , x^2) be its standard ordered basis.Let v1= 1-3x + 2x^2, v2= 1 + x + 4x^2, and v3= 1 - 7x.
a. Let T: P2-->P1 be the linear transformation such that T(1) =0, T(x)=1, and T(x^2) = 2x. Find T(v2). What familiartransformation from calculus is T?
Let P2 = { ( a0 + a1x + a2x^2 ) a0, a1, a2 ? ?}. Recall that P2 isa vector space. Let S= ( 1, x , x^2) be its standard ordered basis.Let v1= 1-3x + 2x^2, v2= 1 + x + 4x^2, and v3= 1 - 7x.
a. Let T: P2-->P1 be the linear transformation such that T(1) =0, T(x)=1, and T(x^2) = 2x. Find T(v2). What familiartransformation from calculus is T?
a. Let T: P2-->P1 be the linear transformation such that T(1) =0, T(x)=1, and T(x^2) = 2x. Find T(v2). What familiartransformation from calculus is T?
Beverley SmithLv2
14 Jan 2019