6. Let LR³ R₂[r] be a linear transformation such that LO 2 L0=1+x². Calculate L 3 (1) (b) x² + 5x + 2 (a) r²- 5x+1 (c) x² + 2x-5 = x + x², L1 = 1+2 and (d) x² + 2x + 5

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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6. Let LR³ R₂[r] be a linear transformation such that L
0
0
2
L0=1+x². Calculate L 3
(a) r²-5r+1
(b) x² + 5x+2
(c) x² + 2x - 5
= x + x², L
= 1+2 and
(d) x² + 2x + 5
Transcribed Image Text:6. Let LR³ R₂[r] be a linear transformation such that L 0 0 2 L0=1+x². Calculate L 3 (a) r²-5r+1 (b) x² + 5x+2 (c) x² + 2x - 5 = x + x², L = 1+2 and (d) x² + 2x + 5
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