2. Let T: R4 → R4 be given by -). Set z = T(v) = 000 -4 1 0 0 0 01 0-5 0 0 1 0 I Prove that R4 = (T, z) and determine µT(x).

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A: Given: The equation, ∂2U∂t2+2κ∂U∂t=C2∂2U∂x2 The values: C2=0.0005, κ=0.5, ∆x=0.20 cm, ∆t=5 sec. The…

Q: 2. Let T: R4 → R4 be given by Set z = (O) T(v) = 000 1 00 0 0 1 0-5 0 0 1 0 I Prove that R4 = (T, z)…

A: From the above details we have,

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