2. Let V be the vector space of polynomials in x with real coefficients of degree at most 3. So: V = {ao +a1x + a2x² + a3x° : ao, a1, a2, az E R}. Let L: V → V be the linear transformation such that L(x*) = x3-i for i = 0, 1, 2, 3. xi-1 for i = (a) Let v; {V1, V2, V3, V4}. Calculate [L]g. (b) Let wi and w4 calculate [L]s. 1, 2, 3, 4 and B = = 1+ x°, w2 = 1 – x°, w3 = x + x² = x – x². For S = {w1,w2, W3, W4},

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Q: `

A: Step 1: Step 2: Step 3: Step 4:

Q: 3c

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Q: '

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