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2. Let T : P2(R) → M2×2(R) be a linear transformation defined by 5c T(a + bx + cx²) = | a + 26 a, b, c e R. Let B = {3x, 2 – x, 1+ x²} be a basis for P2(R). Find a matrix M(T) which represents T.

2. Let T : P2(R) → M2×2(R) be a linear transformation defined by 5c T(a + bx + cx²) = | a + 26 a, b, c e R. Let B = {3x, 2 – x, 1+ x²} be a basis for P2(R). Find a matrix M(T) which represents T.

Elementary Linear Algebra (MindTap Course List)
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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2. Let T : P2(R) → M2×2(R) be a linear transformation defined by 5c Т(а+ bx + сx?) - а, b, с € R. a + 26 Let B = {3x, 2 – x, 1+x?} be a basis for P2(R). Find a matrix M(T) which represents T.
Transcribed Image Text:2. Let T : P2(R) → M2×2(R) be a linear transformation defined by 5c Т(а+ bx + сx?) - а, b, с € R. a + 26 Let B = {3x, 2 – x, 1+x?} be a basis for P2(R). Find a matrix M(T) which represents T.
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