Let T: P2 → P, be the linear transformation such that T(2x) = 2x2 – 3x, T(0.5x – 4) = -2x² – 4x + 3, T(4x² + 1) = -4x + 4. Find T(1), T(x), T(x²), and T(ax2 + bx + c), where a, b, and c are arbitrary real numbers. T(1) = T(x) = T(x²) = T(ax? + bx + c) =
Let T: P2 → P, be the linear transformation such that T(2x) = 2x2 – 3x, T(0.5x – 4) = -2x² – 4x + 3, T(4x² + 1) = -4x + 4. Find T(1), T(x), T(x²), and T(ax2 + bx + c), where a, b, and c are arbitrary real numbers. T(1) = T(x) = T(x²) = T(ax? + bx + c) =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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