Consider the linear transformation T: P2 → P1 defined by T(a + bx + cx²) = a + (b+ c)x. %3D Compute the standard matrix [T]B'+B_for T with respect to the basis B = {2 – x + x², 1+x + x², 2 – 3x}
Consider the linear transformation T: P2 → P1 defined by T(a + bx + cx²) = a + (b+ c)x. %3D Compute the standard matrix [T]B'+B_for T with respect to the basis B = {2 – x + x², 1+x + x², 2 – 3x}
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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