Question

Use the function to find the image of V and the preimage of W. T(V1, V2, V3) = (v2 - V1, V1 + V2, 2v1), V = (4,3,0), w = (-9,
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Answer #1

Given that that, 7(V., V2, %) = (V2_W,, +82 ,2%) 30, 7(2,3,0) = (3-4,4+3, 2x4) (-1,7,8) Now ler, T(N, V, Vs) = w >>(V2-riiv​​​​​​.

.

So we have,

(a) The image of v : (-1, 7, 8)​​​​​​

(b) Pre-image of w : (5, -4, t)

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