Consider the basis S = {v1, v2, v3} for R3, where v1 = (1, 1, 1), v2 = (1, 1, 0), and v3 = (1, 0, 0), and let T:R3 → R3 be the linear operator for which

T(v1) = (9, − 1, 18), T(v2) = (10, 0, 1), T(v3) = (− 1, 19, 1)

Find a formula for T(x1, x2, x3), and use that formula to find T(9, 18, − 1).

Question

Consider the basis S = {v1, v2, v3} for R3, where v1 = (1, 1, 1), v2 = (1, 1, 0), and v3 = (1, 0, 0), and let T:R3 → R3 be the linear operator for which

T(v1) = (9, − 1, 18), T(v2) = (10, 0, 1), T(v3) = (− 1, 19, 1)

Find a formula for T(x1, x2, x3), and use that formula to find T(9, 18, − 1).

bee_see · Answer

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