Mathematics, 31.10.2019 01:31 dontap3037

For each of the following inner product spaces v and linear operators t on v, evaluate t∗ at the given vector in v .
(a) v=r2,t(a, b)=(2a+b, a−3b),x=(3,5)
(b) v=c2,t(z1,z2)=(2z1+iz2,(1−i)z1),x=( 3−i,1+2i)
(c) v=p1(r) with ⟨f, g⟩=∫1−1f(t)g(t)dt, t(f)=f′+3f f(t)=4−2t

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For each of the following inner product spaces v and linear operators t on v, evaluate t∗ at the giv...