Let T: P2 that is, 7. > P2 be the linear operator T(p(x)) = p(2x+ 1), T(co+ C,x+ C,x²) = c, + c,(2x + 1) + c,(2x + 1)? a. Find [T]B with respect to the basis B = {1,x, x?}. b. Use the three-step procedure illustrated in Example 2 to compute T(2 – 3x + 4x²). c. Check the result obtained in part (b) by computing T(2 3x+ 4x2) directly.
Let T: P2 that is, 7. > P2 be the linear operator T(p(x)) = p(2x+ 1), T(co+ C,x+ C,x²) = c, + c,(2x + 1) + c,(2x + 1)? a. Find [T]B with respect to the basis B = {1,x, x?}. b. Use the three-step procedure illustrated in Example 2 to compute T(2 – 3x + 4x²). c. Check the result obtained in part (b) by computing T(2 3x+ 4x2) directly.
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 18CM
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