Let T: P3 -→ P3 be the linear transformation such that T(-23) — 4а — 4г, Т(0.5ӕ — 2) — — За? + 2 — 2, т(4л? + 1) — За + 1. Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, andc are arbitrary...


Let T: P3 -→ P3 be the linear transformation such that<br>T(-23) — 4а — 4г, Т(0.5ӕ — 2) — — За? + 2 — 2, т(4л? + 1) — За + 1.<br>Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, andc are arbitrary real numbers.<br>T(1) =<br>T(x) =<br>T(x²) =<br>T(ax? + bx + c) =<br>

Extracted text: Let T: P3 -→ P3 be the linear transformation such that T(-23) — 4а — 4г, Т(0.5ӕ — 2) — — За? + 2 — 2, т(4л? + 1) — За + 1. Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, andc are arbitrary real numbers. T(1) = T(x) = T(x²) = T(ax? + bx + c) =

Jun 03, 2022
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